×

Arithmetic on algebraic varieties. (English) Zbl 0284.14004


MSC:

14-03 History of algebraic geometry
14Gxx Arithmetic problems in algebraic geometry; Diophantine geometry
12Exx General field theory
14Kxx Abelian varieties and schemes
14L05 Formal groups, \(p\)-divisible groups
14H25 Arithmetic ground fields for curves
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] A. N. Andrianov, ?Representation of numbers by certain quadratic forms in connection with the theory of elliptic curves,? Izv. Akad. Nauk SSSR, Ser. Mat., 29(1):227?238 (1965). · Zbl 0166.05403
[2] A. N. Andrianov, ?Zeta-functions of simple algebras with non-Abelian characters,? Uspekhi Mat. Nauk, 23(4):3?66 (1968).
[3] M. I. Bashmakov, ?On the divisibility of homogeneous principal bundles over Abelian varieties,? Izv. Akad. Nauk SSSR, Ser. Mat., 28(3):661?664 (1964). · Zbl 0148.41501
[4] M. I. Bashmakov, ?On the rank of Abelian varieties,? Dokl. Akad. Nauk SSSR, 181(5):1031?1033 (1968). · Zbl 0195.50701
[5] M.I. Bashmakov, ?On the Shafarevich-Tate group of an elliptic curve,? Mat. Zametki, 7(1):79?86 (1970). · Zbl 0197.46903
[6] Z.I. Borevich and I. R. Shafarevich, Theory of Numbers [in Russian], ?Nauka,? Moscow (1964). · Zbl 0121.04202
[7] A. Borel, ?Hecke operators and zeta-functions,? Matematika (Periodical collection of translations of foreign articles), 13(4):45?60 (1969).
[8] K. B. Bulataev, ?On one rational method of computing rational ideals of degree zero on a curve of genus 2,ay2=5(x2+3x+1)(?1+6x2?x4),? Tr. Kirg. Univ.,Ser. Mat. Nauk, No. 6, 23?25 (1967).
[9] K. B. Bulataev, ?Estimate of the rank of a hyperelliptic curve of genus 2,? Sb. Statei Aspirantov Kirg. Univ., Fiz.-Mat. i Estestv. Nauk, No. 2, 6?14 (1968).
[10] K. B. Bulataev, ?Estimate of the rank of the curves y2=(?l/3)(x2+x+l)(3x3+4x2+3x), y2=(x2+3x+1) (?1+6x2?x4),? Sb. Statei Aspirantov Kirg. Univ., Fiz.-Mat. i Estestv. Nauk, No. 3, 3?8 (1969).
[11] Yu. R. Bainberg, ?On the reduction of formal groups modulo a prime,? Sibirsk. Mat. Zh., 4(6):1263?1270 (1963).
[12] Yu. R. Bainberg, ?Algebraic varieties over fields with differentiation,? Mat. Sb., 80(3):417?444 (1969).
[13] O. M. Vvedenskii (O. N. Vvedenskii), ?Cohomology of Lutz subgroups of an elliptic curve,? Zb. Robit. Aspirantiv L’vivsk. Univ., Prirodn. Nauk., L’viv (1963), pp. 5?8.
[14] O. M. Vvedenskii (O. N. Vvedenskii), ?Duality in elliptic curves over a local field. I,? Izv. Akad. Nauk SSSR, Ser. Mat., 28(5):1091?1112 (1964).
[15] O. M. Vvedenskii (O. N. Vvedenskii), ?Torsion of elliptic curves over a local field,? Visnik L’viv. Univ., Ser. Mekh.-Mat., No. 1, 3?6 (1965).
[16] O. M. Vvedenskii (O. N. Vvedenskii), ?Elliptic curves with a degenerate reduction,? Vestnik L’vov. Polytekhn. Inst., No. 8, 70?72 (1965).
[17] O. M. Vvedenskii (O. N. Vvedenskii), ?Proalgebraic groups with reduction height two,? Visnik L’viv. Derzh. Univ., Ser. Mekh.-Mat., No. 2, 24?29 (1965).
[18] O. M. Vvedenskii (O. N. Vvedenskii), ?Duality in elliptic curves over a local field. II,? Izv. Akad. Nauk SSSR, Ser. Mat., 30(4):891?922 (1966).
[19] O. M. Vvedenskii (O. N. Vvedenskii), ?Local class fields of elliptic curves,? Dopovidi Akad. Nauk Ukrain. RSR, Ser. A, No. 10, 876?880 (1968).
[20] O. M. Vvedenskii (O. N. Vvedenskii), ??Local class fields? of elliptic curves,? Dopovidi Akad. Nauk Ukrain. RSR, Ser. A, No. 5, 393?396 (1969).
[21] O. M. Vvedenskii (O. N. Vvedenskii), ??Local class fields? of elliptic curves,? Dopovidi Akad. Ukrain. RSR, Ser. A, No. 11, 966?969 (1969).
[22] A. Weil, Adeles and Algebraic Groups, Inst. Adv. Studies, Princeton, N. J. (1961).
[23] V. E. Voskresenskii, ?On the decomposition of genus into classes in uniform spaces,? Volzhsk. Mat. Sb., No. 2, 21?25 (1964).
[24] V. E. Voskresenskii, ?On two-dimensional algebraic tori,? Izv. Akad. Nauk SSSR, Ser. Mat., 29(1):239?244 (1965).
[25] V. E. Voskresenskii, ?On two-dimensional algebraic tori. II,? Izv. Akad. Nauk SSSR, Ser. Mat., 31(3):711?716 (1967).
[26] V. E. Voskresenskii, ?Arithmetic on ?-varieties,? in: Research on Number Theory, No. 2 [in Russian], Saratov Univ., Saratov (1968), pp. 50?59.
[27] V. E. Voskresenskii, ?Picard groups of linear algebraic groups,? in: Research on Number Theory, No. 3 [in Russian], Saratov Univ., Saratov (1969), pp. 7?16.
[28] V. E. Voskresenskii, ?On the birational equivalence of linear algebraic groups,? Dokl. Akad. Nauk SSSR, 188(5):978?981 (1969).
[29] V. E. Voskresenskii, ?The birational properties of linear algebraic groups,? Izv. Akad. Nauk SSSR, Ser. Mat., 34(1):3?19 (1970).
[30] A. O. Gel’fond and Yu. V. Linnik, Elementary Methods in Analytic Number Theory [in Russian], Fizmatgiz, Moscow (1962), 272 pp. · Zbl 0111.04803
[31] S. G. Gindkikin and I. I. Pyatetskii-Shapiro, ?On the algebraic structure of the field of Siegel’s modular functions,? Dokl. Akad. Nauk SSSR, 162(6):1226?1229 (1965).
[32] V. A. Dem’yanenko, ?Rational points of one class of algebraic curves,? Izv. Akad. Nauk SSSR, Ser. Mat., 30(6):1373?1396 (1966).
[33] V. A. Dem’yanenko, ?Rational points of one class of algebraic curves,? Dokl. Akad. Nauk SSSR, Ser. Mat., 171(6):1259?1266 (1966).
[34] V. A. Dem’yanenko, ?On points of finite order on elliptic curves,? Izv. Akad. Nauk SSSR, Ser. Mat., 31(6):1327?1340 (1967).
[35] V. A. Dem’yanenko, ?On the rational points of certain curves of higher genus,? Acta Arith., 12(4):333?354 (1967).
[36] V. A. Dem’yanenko, ?Estimate of the remainder term in Tate’s formula,? Mat. Zametki, 3(3):271?278 (1968).
[37] V. A. Dem’yanenko, ?On the indeterminate equations x6+y6=az2, x6+y4=az3, x4+y4=az4,? Izv. Vyssh. Uchebn. Zavedenii, Matematika, No. 4, 26?32 (1968).
[38] V. A. Dem’yanenko, ?On points of finite order of elliptic curves,? Mat. Zametki, 7(5):563?567 (1970).
[39] I. V. Elistratov, ?On the number of solutions of certain equations in finite fields,? Tr. Molodykh Uchebykh. Saratovsk. Univ., Vyp. Mat., Saratov (1964), pp. 27?30.
[40] I. V. Elistratov, ?On the number of solutions of certain equations in finite fields,? in: Certain Aspects of Field Theory [in Russian], Saratov Univ., Saratov (1964), pp. 48?59.
[41] I. V. Elistratov, ?On an elementary proof of Hasse’s theorem,? in: Research on Number Theory, No. 1 [in Russian], Saratov Univ., Saratov (1966), pp. 21?26. · Zbl 0237.12008
[42] I. V. Elistratov, ?Number of classes and location of zeros of the Z(u)-function,? Volzhsk. Mat. Sb., No. 4, 58?65 (1966).
[43] Yu. L. Érshov, ?Undecidability of certain fields,? Dokl. Akad. Nauk SSSR, 161(1):27?29 (1965). · Zbl 0203.01204
[44] Yu. L. Érshov, ?On elementary theories of local fields,? Algebra i Logika, Seminar, 4(2):5?30 (1965).
[45] Yu. L. Érshov, ?On the rational points over Henselian fields,? Algebra i Logika, Seminar, 6(3):39?49 (1967).
[46] K. Iwasawa, ?Analogy between the fields of algebraic numbers and of algebraic functions,? Sugaku, 15(2):65?67 (1963). · Zbl 0121.04501
[47] V. A. Iskovskikh, ?On birational forms of rational surfaces,? Izv. Akad. Nauk SSSR, Ser. Mat., 29(6):1417?1433 (1965). · Zbl 0147.39905
[48] V. A. Iskovskikh, ?Rational surfaces with a pencil of rational curves,? Mat. Sb., 74(4):608?638 (1967).
[49] Y. Ihara, ?Algebraic curves mod p and arithmetic groups,? Matematika (Periodical collection of translations of foreign articles), 12(6):56?62 (1968).
[50] K. Karabaev, ?On one rational method for seeking certain rational divisors of zero degree on the curveay2=(x2+l)(x3+x2+x) of genus 2,? Sb. Statei Aspirantov Kirg. Univ., Fiz.-Mat. i Estestv. Nauk, No. 2, 23?28 (1968).
[51] N. Katz and T. Oda, ?On the differentiation with respect to a parameter of de Rham cohomology classes,? Matematika (Periodical collection of translations of foreign articles), 14(2):91?101 (1970).
[52] B. Kh. Kirshtein and I. I. Pyatetskii-Shapiro, ?Invariant subrings of induced rings,? Izv. Akad. Nauk SSSR, Ser. Mat., 34(1):83?89 (1970).
[53] A.I. Lapin, ?On subfields of hyperelliptic fields. I,? Izv. Akad. Nauk SSSR, Ser. Mat., 28(5):953?988 (1964). · Zbl 0192.26902
[54] A. I. Lapin, ?On the rational points of an elliptic curve,? Izv. Akad. Nauk SSSR, Ser. Mat., 29(3):701?716 (1965).
[55] Yu. I. Manin, ?Diophantine equations and algebraic geometry,? Proc. Fourth All-Union Math. Congress, Vol. 2, 1961 [in Russian], ?Nauka,? Leningrad (1964), pp. 15?21.
[56] Yu. I. Manin, ?Formal and algebraic commutative groups,? Uspekhi Mat. Nauk, 17(2):197?198 (1962).
[57] Yu. I. Manin, ?Two-dimensional formal Abelian groups,? Dokl. Akad. Nauk SSSR, 143(1):35?37 (1962).
[58] Yu. I. Manin, ?On the classification of formal Abelian groups,? Dokl. Akad. Nauk SSSR, 144(3):490?492 (1962).
[59] Yu. I. Manin, ?Proof of an analog of Mordell’s conjecture for algebraic curves over functional fields,? Dokl. Akad. Nauk SSSR, 152(5):1061?1063 (1963).
[60] Yu. I. Manin, ?Rational points of algebraic curves over functional fields,? Izv. Akad. Nauk SSSR, Ser. Mat., 27(6):1395?1440 (1963).
[61] Yu. I. Manin, ?On arithemetic on rational surfaces,? Dokl. Akad. Nauk SSSR, 152(1):46?49 (1963).
[62] Yu. I. Manin, ?Theory of commutative formal groups over fields of finite characteristic,? Uspekhi Mat. Nauk, 18(6):3?90 (1963).
[63] Yu. I. Manin, ?Rational points on algebraic curves,? Uspekhi Mat. Nauk, 19(6):83?87 (1964).
[64] Yu. I. Manin, ?The Tate height of points on an Abelian variety, its variants and applications,? Izv. Akad. Nauk SSSR, Ser. Mat., 28(6):1363?1390 (1964). · Zbl 0192.26801
[65] Yu. I. Manin, ?Differential forms and sections of elliptic pencils,? in: Modern Problems in Analytic Function Theory [in Russian], ?Nauka,? Moscow (1966), pp. 224?229.
[66] Yu. I. Manin, ?Rational surfaces over perfect fields. I,? Publs. Math. Inst. Hautes Études Scient., No. 30, 55?113 (1966). · Zbl 0171.41701 · doi:10.1007/BF02684356
[67] Yu. I. Manin, ?Rational G-surfaces,? Dokl. Akad. Nauk SSSR, 175(1):28?30 (1967).
[68] Yu. I. Manin, ?Rational surfaces over perfect fields. II,? Mat. Sb., 72(2):161?192 (1967).
[69] Yu. I. Manin, ?Rational surfaces and Galois cohomology,? Proc. Internat. Congr. Mathematicians, 1966 [in Russian], ?Mir,? Moscow (1968), pp. 495?509.
[70] Yu. I. Manin, ?Cubic hypersurfaces. I. Quasigroups of classes of points,? Izv. Akad. Nauk SSSR, Ser. Mat., 32(6):1223?1244 (1968). · Zbl 0184.46801
[71] Yu. I. Manin, ?On certain groups connected with cubic varieties,? Uspekhi Mat. Nauk, 23(1):212 (1968).
[72] Yu. I. Manin, ?Correspondences, motifs, and monoidal transformations,? Mat. Sb., 77(4):475?507 (1968). · Zbl 0199.24803
[73] Yu. I. Manin, ?The p-torsion of elliptic curves is uniformly bounded,? Izv. Akad. Nauk SSSR, Ser. Mat., 33(3):459?465 (1969). · Zbl 0191.19601
[74] Yu. I. Manin, ?On Hilbert’s twelfth problem,? in: The Hilbert Problems [in Russian], ?Nauka,? Moscow (1969), pp. 159?162.
[75] Yu. I. Manin, ?Cubic hypersurfaces. III. Moufang loops and Brauer equivalences,? Mat. Sb., 79(2):155?170 (1969). · Zbl 0196.24404
[76] G. N. Markshaitis, ?On p-extensions with one critical number,? Izv. Akad. Nauk SSSR, Ser. Mat., 27(2):463?466 (1963).
[77] G. N. Markshaitis, ?On certain elliptic curves,? Lit. Mat. Sb., 9(2):402?403 (1969).
[78] Yu. V. Matiyasevich, ?Diophantineness of denumberable sets,? Dokl. Akad. Nauk SSSR, 191(2):279?282 (1970).
[79] P. A. Medvedev, ?On the representation of zero by a cubic form in the field of p-adic number,? Uspekhi Mat. Nauk, 19(6):187?190 (1964).
[80] P. A. Medvedev, ?Orders and indices of an elliptic curve,? Izv. Akad. Nauk SSSR, Ser. Mat., 30(5):1179?1192 (1966).
[81] P. A. Medvedev, ?A remark on my paper ?Orders and indices of an elliptic curve,?? Izv. Akad. Nauk SSSR, Ser. Mat., 32(1):247 (1968).
[82] M. E. Novodvorskii and I. I. Pyatetskii-Shapiro, ?Some remarks on the torsion of elliptic curves,? Mat. Sb., 82(2):309?316 (1970).
[83] S. V. Ogai, ?On rational points on the curve y2=x(x2+ax+b),? Tr. Mat. Inst. Akad. Nauk SSSR, 80:110?116 (1965). · Zbl 0154.21104
[84] S. V. Ogai, ?On the maps of the curvesay2=(z2?2)(z?2),ay2=(z2?z)(z+2) into the curveay2=x5+x,? Tr. Kirg. Univ., Ser. Mat. Nauk, No. 6, 45?49 (1967).
[85] S. V. Ogai, ?Estimate of the rank of certain hyperelliptic curves of genus 2,? Tr. Kirg. Univ., Ser. Mat. Nauk, No. 5, 144?148 (1968).
[86] A. N. Parshin, ?Algebraic curves over functional fields,? Dokl. Akad. Nauk SSSR, 183(3):524?526 (1968).
[87] A. N. Parshin, ?Algebraic curves over functional fields. I,? Izv. Akad. Nauk SSSR, Ser. Mat., 32(5):1191?1219 (1968). · Zbl 0181.23902
[88] A. N. Parshin, ?Isogenies and torsion of elliptic curves,? Izv. Akad. Nauk SSSR, Ser. Mat., 34(2):409?424 (1970).
[89] G. I. Perel’muter, ?On certain sums and on the varieties connected with them,? Tr. Molodykh Uchenykh. Satatovsk. Univ., Vyp. Mat., Saratov (1964), pp. 27?30.
[90] G. I. Perel’muter, ?Z-functions of one class of cubic surfaces,? in: Research on Number Theory, No. 1 [in Russian], Saratov Univ., Saratov (1966), pp. 49?58.
[91] G. I. Perel’muter, ?Rationality of L-functions of one class of algebraic varieties,? in: Research on Number Theory, No. 1 [in Russian], Saratov Univ., Saratov (1966), pp. 59?62.
[92] G. I. Perel’muter, ?Estimate of a sum along an algebraic curve,? Mat. Zametki, 5(3):373?380 (1969).
[93] I. I. Pyatetskii-Shapiro, ?On the reduction modulo a prime of the field of modular functions,? Izv. Akad. Nauk SSSR, Ser. Mat., 32(6):1264?1274 (1968). · Zbl 0179.12401
[94] I. I. Pyatetskii-Shapiro, ?Induced rings and the reduction of the field of automorphic functions,? Funkts. Analiz i Ego Prilozhen., 4(1):94 (1970).
[95] I. I. Pyatetskii-Shapiro and I. R. Shafarevich, ?Galois theory of transcendental extensions and uniformizations,? Izv. Akad. Nauk SSSR, Ser. Mat., 30(3):671?704 (1966).
[96] I. I. Pyatetskii-Shapiro and I. R. Shafarevich, ?Galois theory of transcendental extensions and uniformizations,? in: Modern Problems in Analytic Function Theory [in Russian], ?Nauka,? Moscow (1966), pp. 262?264.
[97] M. Sanuke, ?Rational points of algebraic curves over functional fields,? Sugaku, 20(1):23?25 (1968).
[98] Seminar on Complex Multiplication, 1?6. Matematika (Periodical collection of translations of foreign articles), 12(1):55?95 (1968).
[99] S. A. Stepanov, ?On the number of points of a hyperelliptic curve over a simple finite field,? Izv. Akad. Nauk SSSR, Ser. Mat., 33(5):1171?1181 (1969). · Zbl 0192.58002
[100] J. T. Tate and I. R. Shafarevich, ?On the rank of elliptic curves,? Dokl. Akad. Nauk SSSR, 175(4):770?773 (1967). · Zbl 0168.42201
[101] T. A. Tushkina, ?Numerical experiment on the computation of the Hasse invariant for certain curves,? Izv. Akad. Nauk SSSR, Ser. Mat., 29(5):1203?1204 (1965). · Zbl 0149.39302
[102] D. K. Faddeev, ?On a paper by A. Baker,? Zap. Nauchn. Seminarov Leningrad. Otdel. Mat. Inst. Akad. Nauk SSSR, 1:128?139 (1966).
[103] Yu. I. Khmelevskii, ?On Hilbert’s tenth problem,? in: The Hilbert Problems [in Russian], ?Nauka,? Moscow, 141?153.
[104] I. R. Shafarevich, ?On the birational equivalence of elliptic curves,? Dokl. Akad. Nauk SSSR, 114(2):267?270 (1957). · Zbl 0081.15304
[105] I. R. Shafarevich, ?Indices of elliptic curves,? Dokl. Akad. Nauk SSSR, 114(4):714?716 (1957). · Zbl 0081.15401
[106] I. R. Shafarevich, ?The group of principal uniform algebraic varieties,? Dokl. Akad. Nauk SSSR, 124(1):42?43 (1959). · Zbl 0115.38903
[107] I. R. Shafarevich, ?Principal uniform spaces defined over a function field,? Tr. Mat. Inst. Akad. Nauk SSSR, 64:316?346 (1961). · Zbl 0129.12804
[108] I. R. Shafarevich, ?Algebraic number fields,? Proc. Internat. Congr. Math., Aug. 1962, Djursholm. Uppsala, Sweden (1963), pp. 163?176.
[109] I. R. Shafarevich, ?Abelian varieties over algebraic number fields,? Proc. Fourth All-Union Math. Congr., 1961, Vol. 2 [in Russian], ?Nauka,? Leningrad (1964), p. 47.
[110] I. R. Shafarevich, Zeta-Functions. 1966?1967 [in Russian], (Mosk. Univ. Makh.-Mat. Fak., Mosk. Mat. Obshch.), Moscow (1969), p. 148.
[111] Algebraic Geometry. Pap. Bombay Colloq., 1968. London, Oxford Univ. Press, 1969, viii, 426pp., ill.
[112] Algebraic number theory. London, 1967.
[113] A. Altman, ?Transcendental and algebraic points on group varieties,? Doct. diss. Columbia Univ., 1968, 45 pp. Dissert. Abstrs., B29(6):2107 (1968).
[114] K. Amano, ?A note on Galois cohomology groups of algebraic tori,? Nagoya Math. J., 34:121?127 (1969). · Zbl 0174.24303 · doi:10.1017/S002776300002448X
[115] Arbeitsgemeinschaft Prof. Dr. P. Roquett, ?Schmale W. (Tagungsbericht 18 und 19 Mai 1968, No. 13) Math. Forschungsinst,? Oberwohlfach, 6S (1968).
[116] G. Archinard, ?Théorie de Chabauty sur les équations diophantiennes I.,? Sémin. Théor. normbres Delange-Pisot. Fac. sci. Paris, 7(16):1?23 fasc. 2, 1965?1966 (1967).
[117] G. Archinard, ?Théorie de Chabauty sur les équations diophantiennes. II,? Semin. Delange-Pisot-Poitou. Fac. Sci. Paris, 8(1):5/01?5/13 1966?1967 (1968).
[118] C. Arf, ?Sur la structure du groupe de Galois de la fermetrure algébrique d’un corps de séries de puissances sur un corps fini et les conducteurs d’Artin,? Colloq. internat. Centre nat. rech. scient., 143:27?35 (1966).
[119] Arithmetical algebraic geometry, ?Proc. Conf., Purdue Univ., Dec. 5?7 1963. Ed. Schilling O. F. G., New York, Harper and Row, 1965, VIII, p. 200.
[120] J. V. Armitage, ?Algebraic functions and an analogue of the geometry of numbers: the Riemann-Roch thoerem,? Arch. Math., 18(4):383?393 (1967). · Zbl 0156.41102 · doi:10.1007/BF01898830
[121] J. V. Armitage, ?The Thue-Siegel-Roth theorem in characteristic p,? J. Algebra, 9(2):183?189 (1968). · Zbl 0162.34604 · doi:10.1016/0021-8693(68)90019-7
[122] E. Artin, ?Algebraic numbers and algebraic functions,? London, Nelson, 1968, XIII, p. 349, Brit. Nat. Bibliogr., 14(968) (1968).
[123] M. Artin, ?On the solutions of analytic equations,? Invent, math., 5(4):277?291 (1968). · Zbl 0172.05301 · doi:10.1007/BF01389777
[124] M. Artin, ?Algebraic approximation of structures over complete local rings,? Publs math. Inst. hautes études scient, 36:23?58 (1969). · Zbl 0181.48802 · doi:10.1007/BF02684596
[125] A. O. L. Arkin, ?Note on a paper of Birch,? J. London Math. Soc., 44(2):283 (1968).
[126] B. Auslander, ?The Brauer group of a ringed space,? J. Algebra, 4(2):220?273 (1966). · Zbl 0144.03401 · doi:10.1016/0021-8693(66)90040-8
[127] M. Auslander and A. Brummer, ?Brauer groups of discrete valuation rings,? Proc. Koninkl. nederl. akad. wet, A71(3):286?296 (1968). Indagationes math., 30(3):286?296 (1968). · doi:10.1016/S1385-7258(68)50033-7
[128] J. Ax, ?Zeroes of polynomials over finite fields,? Amer. J. Math., 86(2):255?261 (1964). · Zbl 0121.02003 · doi:10.2307/2373163
[129] J. Ax, ?A field of cohomological dimension 1 which is not C1,? Bull. Amer. Math. Soc., 71(5):717 (1965). · Zbl 0142.29902 · doi:10.1090/S0002-9904-1965-11354-4
[130] J. Ax, ?Proof of some conjectures on cohomological dimension,? Proc. Amer. Math. Soc., 16(6):1214?1221 (1965). · Zbl 0142.30001 · doi:10.1090/S0002-9939-1965-0188263-0
[131] J. Ax, ?Solving Diophantine problems modulo every prime,? Ann. Math., 85(2):161?183 (1967). · Zbl 0239.10032 · doi:10.2307/1970438
[132] J. Ax, ?The elementary theory of finite fields,? Ann. Math., 88(2):239?271 (1968). · Zbl 0195.05701 · doi:10.2307/1970573
[133] J. Ax and S. Kochen, ?Diophantine problems over local fields. I,? Amer. J. Math., 87(3):605?630 (1965). · Zbl 0136.32805 · doi:10.2307/2373065
[134] J. Ax and S. Kochen, ?Diophantine problems over local fields. II,? A complete set of axioms for p-adic number theory. Amer. J. Math., 87(3):631?648 (1965). · Zbl 0136.32805 · doi:10.2307/2373066
[135] W. L. Baily, Jr., ?On the moduli of Abelian varieties with multiplications from an order in a totally real number field,? Proc. Internat. Congr. Math. Aug. 1962, Djursholm. Uppsala, 309?313 (1963).
[136] W. L. Baily, Jr., ?On the moduli of Abelian varieties with multiplications,? J. Math. Soc. Japan, 15(4):367?386 (1963). · Zbl 0147.39703 · doi:10.2969/jmsj/01540367
[137] A. Baker, ?Contributions to the theory of Diophantine equations. I,? On the representation of integers by binary forms. Philos. Trans. Roy. Soc. London, A263(1139):173?191 (1968). · Zbl 0157.09702 · doi:10.1098/rsta.1968.0010
[138] A. Baker, ?Conributions to the theory of Diophantine equations. II,? The Diophantine equation y2=x3+k. Philos. Trans. Roy. Soc. London, A263(1139):193?208 (1968). · Zbl 0157.09801 · doi:10.1098/rsta.1968.0011
[139] A. Baker, ?Bounds for the solutions of the hyperelliptic equation,? Proc. Cambridge Philos. Soc., 65(2):439?444 (1969). · Zbl 0174.33803 · doi:10.1017/S0305004100044418
[140] A. Baker and J. Coates, ?Integer points on curves of genus 1,? Proc. Cambridge Phil. Soc., 67(3):595?602 (1970). · Zbl 0194.07601 · doi:10.1017/S0305004100045904
[141] J. Barshay, ?On the zeta-function of certain algebraic varieties,? Doct. diss. Brandeis Univ., 1966, p. 82, Dissert. Abstrs, B27(10):3585?3586 (1967).
[142] J. Barshay, ?On the zeta-function of biprojective complete intersections,? Trans. Amer. Math. Soc., 135:447?458 Jan, (1969). · Zbl 0174.24302 · doi:10.1090/S0002-9947-1969-0232772-0
[143] I. Barsotti, ?Analytical methods for abelian varieties in positive characteristic,? Colloq. théor. groupes algébr. Bruxelles, 1962. Louvain-Paris, 77?85 (1962).
[144] I. Barsotti, ?Metodi analitici per varietá abeliane in caratteristica positiva,? Capitoli 3, 4. Ann. Scuola norm. super. Pisa. Sci fis. e mat., 19(2):277?330 (1965).
[145] I. Barsotti, ?Metodi analitici per varietá abeliane in caratteristica positiva,? Capitolo 5. Ann. Scuola norm, super. Pisa Sci. fis e mat., 19(4):481?512 (1965).
[146] I. Barsotti, ?Metodi analitici per varietá abeliane in caratteristica positiva,? Capitolo 6. Ann. Scuola norm, super. Pisa Sci. fis. e mat., 20(1):101?137 (1966).
[147] I. Barsotti, ?Metodi analitici per varietá abeliane in caratteristica positiva,? Capitolo 7. Ann. Scuola norm. super. Pisa Sci. fis. e mat., 20(2):331?365 (1966).
[148] I. Barsotti, ?Svilappi e applicazioni della teoria dei gruppi analitici,? Boll. Uni-one mat. ital., 1(2):187?206 (1968). · Zbl 0153.50401
[149] I. Barsotti, ?Varietá abeliane su corpi p-adici,? Part 1. Sympos. math. 1967?1968, Vol. 1. Gubbio, 109?173 (1969). · doi:10.1016/B978-1-4832-2995-9.50012-X
[150] W. Bartenwerfer, ?Einige Fortsetzungssatze in der p-adischen Analysis,? Math. Ann., 185(3):191?210 (1970). · Zbl 0181.09003 · doi:10.1007/BF01350260
[151] A. Bialynicki-Birula, ?Remarks on relatively minimal models of fields of genus 0. I,? Bull. Acad. polon. sci. Sér. sci. math., astron. et phys., 15(5):301?304 (1967).
[152] A. Bialynicki-Birula, ?Remarks on relatively minimal models of fields of genus 0. II,? Bull. Acad. polon. sci. Sér. sci. math., astron. et phys., 16(2):81?85 (1968).
[153] A. Bialynicki-Birula, ?Remarks on relatively minimal models of fields of genus 0. III,? Bull. Acad. polon. sci. Sér. sci. math., astron. et phys., 17(7)419?424 (1969).
[154] A. Bialynicki-Birula, ?A note on deformations of Severi-Brauer varieties and relatively minimal models of fields of genus 0,? Bull. Acad. polon. sci. Sér. sci. math., astron. et phys., 18(4):175?176 (1970). · Zbl 0194.51804
[155] B. J. Birch, ?Conjectures concerning elliptic curves,? Theory numbers. Providence, R. I., Amer. Soc., 106?112 (1965). · Zbl 0238.14011
[156] B. J. Birch, ?Rational points of elliptic curves,? in: Internat. Congr. Mathematicians. Report Abstracts [in Russian], Moscow (1966), pp. 37?38.
[157] B. J. Birch, ?How the number of points of an elliptic curve over a fixed prime field varies,? J. London Math. Soc., 43(1):57?60 (1968). · Zbl 0183.25503 · doi:10.1112/jlms/s1-43.1.57
[158] B. J. Birch, ?Weber’s class invariants,? Mathematika, 16(2):283?294 (1969). · Zbl 0226.12005 · doi:10.1112/S0025579300008251
[159] B. J. Birch, ?Diophantine analysis and modular functions,? Algebr. Geom. London, 35?42 (1969).
[160] B. J. Birch and K. McCann, ?A criterion for the p-adic solvability of Diophantine equations,? Quart. J. Math., 18(69):59?63 (1967). · Zbl 0269.10010 · doi:10.1093/qmath/18.1.59
[161] B. J. Birch and N. M. Stephens, ?The parity of the rank of the Mordell-Weil group,? Topology, 5(4):295?299 (1966). · Zbl 0146.42401 · doi:10.1016/0040-9383(66)90021-8
[162] B. J. Birch and H. P. F. Swinner ton-Dyer, ?Notes on elliptic curves. II,? J. reine und angew. Math., 218:79?108 (1965).
[163] F. van der Blij, ?Methodes algébriques et analytiques dans la théorie des nombres,? Bull. Soc. math. Belg., 15(1):13?17 (1963).
[164] E. Bombieri, ?Sull’analogo della formula di Selberg nei corpi di funzioni,? Atti Accad. naz. Lincei. Rend. Cl. sci. fis., mat. e natur., 35(5):252?257 (1963).
[165] E. Bombieri, ?On Galois coverings over finite fields,? Actas Coloq. internac. geometria algebraica. Madrid, 1965. Madrid, 23?30 (1965).
[166] E. Bombieri, ?Nuovi risultati sulla geometria di una ipersuperficie cubica a tre dimensioni,? Simpos. internaz. geometria algebraica, Roma, 1965. Roma, 22?28 (1967).
[167] E. Bombieri, ?On exponential sums in finite fields,? Colloq. Centre nat. rech. scient., 143:37?41 (1966).
[168] E. Bombieri, ?Nuovi risultati sulla geometria di una ipersuperficie cubica a tre dimension,? Rend. mat. e applic., 25(1?2):22?28 (1966). · Zbl 0148.41803
[169] E. Bombieri and H. P. F. Swinnerton-Dyer, ?On the local zeta-function of a cubic threefold,? Ann. Scuola norm. super. Pisa Sci. fis. e mat., 21(1):1?29 (1967). · Zbl 0153.50501
[170] A. Borel and J.-P. Serre, ?Théoremes de finitude en cohomologie galoisienne,? Comment. math. helv., 39(2):111?164 (1964). · Zbl 0143.05901 · doi:10.1007/BF02566948
[171] J. Browkin, ?On forms over p-adic fields,? Bull. Acad. polon. sci. Ser. math., astron. et phys., 14(9):489?492 (1966).
[172] F. Bruhat, ?Points entiers sur les courbes de genre?1.? Semin Bourbaki. Secret. math., 15(2):247/01?247/12 1962?1963 (1964).
[173] M. Brynski, ?O formach rozmaitosci algebraicznych,? Roczh. Polsk. towarz. mat., 10(2):119?129 Ser. 1, (1966).
[174] J. Brzezinski, ?On relatively minimal models of fields of genus 0,? Bull. Acad. polon. sci. Sér. sci. math., astron. et phys., 16(5):375?382 (1968).
[175] J. Brzezinsk, ?Models for some fields of genus 0 determined by forms,? Bull. Acad. polon. sci. Sér. sci. math., et phys., 17(8):473?475 (1969).
[176] I. Bucur, ?Sur la formule de Weil en cohomologie étale? Rev. roumaine math. pures et appl., 12(9):1145?1147(1967). · Zbl 0171.19603
[177] A. Buquet, ?A propos des points rationnels des cubiques,? Bull. Assoc. professeurs math. enseign. public, 47(260):24?28 (1968).
[178] P. Cartier, ?Groupes algébriques et groupes formels,? Colloq. théor. groupes algébr. Bruxelles, 1962. Louvain-Paris, 87?110 (1962).
[179] J. W. S. Cassels, ?Arithmetic on curves of genus 1. I,? On a conjecture of Selmer. J. reine und angew. Math., 202(1?2):52?99 (1959). · Zbl 0090.03005
[180] J. W. S. Cassels, ?Arithmetic on curves of genus 1. II,? A general result. J. reine und angew. Math., 203(3?4):174?208 (1960). · Zbl 0094.02604
[181] J. W. S. Cassels, ?Arithmetic on an elliptic curve,? Proc. Internat. Congr. Math. Aug. 1962, Djursholm. Uppsala, 234?246 (1963). · Zbl 0118.27701
[182] J. W. S. Cassels, ?Arithmetic on curves of genus 1. III,? The Tate-Safarevic and Selmer groups. Proc. London Math. Soc., 12(46):259?296 (1962). · Zbl 0106.03705 · doi:10.1112/plms/s3-12.1.259
[183] J. W. S. Cassels, ?Arithmetic on curves of genus 1. IV,? Proof of the Hauptvermutung. J. reine und angew. Math., 211(1?2):95?112 (1962). · Zbl 0106.03706
[184] J. W. S. Cassels, ?Arithmetic on curves of genus 1. III,? The Tate-Safarevic and Selmer groups. Corrigendum. Proc. London Math. Soc., 13(52):768 (1963). · doi:10.1112/plms/s3-13.1.768-s
[185] J. W. S. Cassels, ?Arithmetic on curves of genus 1. V,? Two counter-examples,? J. London Math. Soc., 38(2):244?248 (1963). · Zbl 0113.03701 · doi:10.1112/jlms/s1-38.1.244
[186] J. W. S. Cassels, ?Arithmetic on curves of genus 1. VI,? The Tate-Safarevic group can be arbitrarily large. J. reine und angew. Math., 214?215:65?70 (1964). · Zbl 0236.14012
[187] J. W. S. Cassels, ?Arithmetic on curves of genus 1. VII,? The dual exact sequence. J. reine und angew. Math., 216(3?4):150?158 (1964). · Zbl 0146.42304
[188] J. W. S. Cassels, ?Arithmetic on Abelian varieties especially of dimension 1,? Lect. Notes. Amer. Math. Soc. and Summer Inst. Alg. Geometry, Woods Hole, Mass., 1964, S. 1., s. a., 1?10.
[189] J. W. S. Cassels, ?Arithmetic on curves of genus 1. VIII,? On conjectures of Birch and Swinnerton-Dyer. J. reine and angew. Math., 217:180?199 (1965). · Zbl 0241.14017
[190] J. W. S. Cassels, ?Integral points on certain elliptic curves,? Proc. London Math. Soc., 14a:55?57 (1965). · Zbl 0134.27501 · doi:10.1112/plms/s3-14A.1.55
[191] J. W. S. Cassels, ?Diophantine equations with special reference to elliptic curves,? J. London Math. Soc., 41(2):193?291 (1966). · Zbl 0138.27002 · doi:10.1112/jlms/s1-41.1.193
[192] J. W. S. Cassels, ?Elliptic curves over local fields,? Proc. Conf. Local fields, Driebergen, 1966. Berlin-Heidelberg-New York, 37?39 (1967).
[193] J. W. S. Cassels, ?On a theorem of Dem’janenko,? J. London Math. Soc., 43(1):61?66 (1968). · Zbl 0165.24104 · doi:10.1112/jlms/s1-43.1.61
[194] J. W. S. Cassels and M. J. T. Guy, ?On the Hasse principle for cubic surfaces,? Mathematika, 13(2):111?120 (1966). · Zbl 0151.03405 · doi:10.1112/S0025579300003879
[195] F. Chatelet, ?Points rationnels sur certaines surfaces cubiques,? Colloq. intern. Centre nat. rech. scient., 143:67?75 (1966).
[196] S. Chowla, ?On a conjecture of Artin. I, II,? Kgl. norske vid. selskabs forhandl., No. 29, 135?138; No. 30, 139?141 (1963).
[197] S. Chowla, ?The Riemann hypothesis and Hilbert’s tenth problem,? Kgl. norske vid. selskabs. forhandl., 38(14):62?64 (1965).
[198] S. Chowla, ?The Riemann hypothesis and Hilbert’s tenth problem,? New York, Gordon and Breach, 1965, XV, p. 119. · Zbl 0136.32702
[199] S. Chowla, ?On the class-number of the function-field y2=f(x) over GF(p),? Kgl. norske vid. selskabs. forhandl., 39(14):86?88 1966 (1967).
[200] S. Chowla, ?On the class-numbers of some function-fields: y2=f(x) over GF(p),? ILI Kgl. norske vid. selskabs forhandl., 40(2):7?10 (1967).
[201] S. Chowla and H. Hasse, ?On a paper of Bombieri,? Kgl. norske vid. selskab. forhandl, 41(8):30?33 (1968).
[202] J. Coates, ?Approximation in algebraic function fields of one variable,? J. Austral. Math. Soc., 7(3):341?355 (1967). · Zbl 0159.50704 · doi:10.1017/S1446788700004183
[203] J. Coates, ?An effective p-adic analogue of a theorem of Thue,? Acta arithm., 15(3):279?305 (1969). · Zbl 0221.10025
[204] Colloque sur la théorie des groupes algebriques. Tenu á Bruxelles 5?7 juin 1962. CBRM. Louvain, Libr. Univ., Paris, Gauthier-Villars, 1962, p. 150.
[205] I. Connell, ?Abelian formal groups,? Proc. Amer. Math. Soc., 17(4):958?959 (1966). · Zbl 0143.26302
[206] M. Davis, ?Diophantine equations and recursively enumerable sets,? Automata theory. New York-London, Acad. Press, 146?152 (1966). · Zbl 0199.03901
[207] M. Davis and H. Putnam, ?Diophantine sets over polynomial rings,? Illinois J. Math., 7(2):251?256 (1963). · Zbl 0113.00604
[208] P. Deligne, ?Formes modulaires et représentationsl-adiques,? Semin. Bourbaki, 21 annee, 1968/69, 355/01?355/34; Lect. Notes Math., 179:1392-172 (1971).
[209] P. Deligne, ?Variétés abéliennes ordinaires sur un corps fini,? Invent. Math., 8(3):238?243 (1969). · Zbl 0179.26201 · doi:10.1007/BF01406076
[210] F. Delmer, ?Equations diophantiennes et géométrie des courbes,? Sémin. Délange-Pisot-Poitou. Theor. nombres. Fac. sci. Paris, 10(2):19/01?19/16 (1968?1969).
[211] J. Dieudonné, ?Group schemes and formal groups,? Actas Coloq. internac. geometriá algebraica. Madrid, 1965. Madrid, 57?67 (1965).
[212] J. Dieudonné, ?Hyperalgebres et groupes formels,? Semin. 1962?1963 analisi, algebra, geometria e topol., vol. 2. Roma, 512?524 (1965).
[213] Dix exposés sur la cohomologie des schémas (Advanced Stud. Pure Math., vol. 3) Amsterdam, North-Holland Publ. Co., Paris, Masson et Cie, ed., 1968, p. 386.
[214] K. Doi, ?On the jacobian varieties of the fields of elliptic modular functions,? Osaka Math. J., 15(2):249?256 (1963). · Zbl 0141.18301
[215] K. Doi, ?On the field of moduli of an abelian variety with complex multiplication,? J. Math. Soc. Japan, 15(3):237?243 (1963). · Zbl 0139.38101 · doi:10.2969/jmsj/01530237
[216] K. Doi and H. Naganuma, ?On the jacobian varieties of the fields of elliptic modular functions. II,? J. Math. Kyoto Univ., 6(2):177?185 (1967). · Zbl 0212.25801 · doi:10.1215/kjm/1250524376
[217] K. Doi and H. Naganuma, ?On the algebraic curves uniformized by arithmetical automorphic functions,? Ann. Math., 86(3):449?460 (1967). · Zbl 0217.05002 · doi:10.2307/1970610
[218] A. Douady, ?Détermination d’un groupe de Galois,? C.r. Acad. sci., 258(22):5305?5308 (1964).
[219] B. Dwork, ?On the zeta-function of a hypersurface,? Publs math. Inst. hautes études scient., 12:5?68 (1962). · Zbl 0173.48601 · doi:10.1007/BF02684275
[220] B. Dwork, ?A deformation theory for the zeta-function of a hypersurface,? Proc. Internat. Congr. Math. Aug. 1962, Djursholm. Uppsala, 247?259 (1963). · Zbl 0173.48601
[221] B. Dwork, ?On the zeta-function of a hypersurface. II,? Ann. Math., 80(2):227?299 (1964). · Zbl 0173.48602 · doi:10.2307/1970392
[222] B. Dwork, ?Some remarks concerning the zeta-function of an algebraic variety over a finite field,? Lect. Notes. Amer. Math. Soc. and Summer Inst. Algebr. Geometry, Woods Hole, Mass., 1964, S. 1, s. a., 1?8.
[223] B. Dwork, ?Analytic theory of the zeta-function of algebraic varieties,? Arithmet. algebraic geometry. Proc. Conf., Purdue Univ., 1963, New York, 18?32 (1965).
[224] B. Dwork, ?On zeta-functions of hypersurfaces,? Colloq. internat. Centre nat. rech. scient., 143:77?82 (1966).
[225] B. Dwork, ?On the zeta-function of a hypersurface. III,? Ann. Math., 83(3):457?519 (1966). · Zbl 0173.48603 · doi:10.2307/1970477
[226] B. Dwork, ?On the rationality of zeta-functions and L-series,? Proc. Conf. Local fields. Driebergen, 1966. Berlin-Heidelberg-New York, 40?55 (1967). · Zbl 0205.50901
[227] M. Eichler, ?Einführung in die Theorie der algebraischen Zahlen und Funktionen,? Basel-Stuttgart, Birkhauser Verl., 1963, 338S.
[228] N. C. Fincke, ?Abelian threefolds,? Doct. diss. Univ. Pittsburgh, 1966, 78 pp. Dissert. Abstrs, B27(7):2440?2441 (1967).
[229] I. Fischer, ?On the specialization of birationally equivalent curves,? Amer. J. Math., 85(2):151?155 (1963). · Zbl 0147.20602 · doi:10.2307/2373207
[230] A. Frolich, ?Quadratic forms á. la’local theory,? Proc. Cambridge Philos. Soc., 63(3):579?586 (1967). · Zbl 0153.05701 · doi:10.1017/S0305004100041530
[231] W. E. Fulton, ?The fundamental group of an algebraic curve,? Doct. diss. Princeton Univ., 1966, p. 71. Dissert. Abstrs., B27(6):2025 (1966).
[232] Y. Furuta and Y. Sawada, ?On the Galois cohomology group of the ring of integers in a global field and its adele ring,? Nagoya Math. J., 32:247?252, June (1968). · Zbl 0159.33603 · doi:10.1017/S0027763000026660
[233] J. Gamst, ?Quaternions généralisés,? C. r. Acad. Sci., 269(14):A560-A562 (1969). · Zbl 0197.03202
[234] P. Gerl, ?Punktfolgen auf Kurven und Flachen,? Monatsh. Math., 67(5):401?432 (1963). · Zbl 0146.42402 · doi:10.1007/BF01295088
[235] J. Giraud, ?Remarque sur une formule de Shimura-Taniyama,? Invent, math., 5(3):231?236 (1968). · Zbl 0165.54801 · doi:10.1007/BF01425552
[236] L. J. Goldstein, ?The analytic theory of zeta-functions associated to automorphic forms,? Doct. diss. Princeton Univ., 1967, 102 pp. Dissert. Abstrs., B28(8):3377 (1968).
[237] H. Grauert, ?Mordells Vermutung über rationale Punkte auf algebraischen Kurven und Funktionenkorper,? Publs math. Inst. hautes études scient., 25:363?381 (1965).
[238] H. Grauert and R. Remmert, ?Nichtarchimedische Funktionentheorie,? Wiss. Abhandl. Arbeitsgemeinsch. Forsch. Landes Nordthein-Westfalen, 33:393?476 (1966).
[239] W. H. Graver, ?Divisibility of the group of divisor classes of degree zero of an elliptic curve,? Doct. diss. Ind. Univ., 1966, p. 36. Dissert. Abstrs, B27(10):3595 (1967).
[240] M. J. Greenberg, ?Schemata over local rings,? Ann. Math., 73(3):624?648 (1961). · Zbl 0115.39004 · doi:10.2307/1970321
[241] M. J. Greenberg, ?Schemata over local rings. II,? Ann. Math., 78(2):256?266 (1963). · Zbl 0126.16704 · doi:10.2307/1970342
[242] M. J. Greenberg, ?Rational points in Henselian discrete valuation rings,? Bull. Amer. Math. Soc., 72(4):713?714 (1966). · Zbl 0142.00901 · doi:10.1090/S0002-9904-1966-11565-3
[243] M. J. Greenberg, ?Rational points in Henselian discrete valuation rings,? Publs math. Inst. hautes études scient, 31:563?568 1966(1967).
[244] M. J. Greenberg, ?Lectures on forms in many variables,? Benjamin, New York, 1969. · Zbl 0185.08304
[245] N. Greenleaf, ?Irreducible subvarieties and rational points,? Amer. J. Math., 87(1):25?31 (1965). · Zbl 0136.16201 · doi:10.2307/2373222
[246] A. Grothendieck, ?Géométrie formelle et Géométrie algébrique,? Semin. Gourbaki. Secrét, math. 1958?1959, 11 année, fasc. 3, Paris, 182/1?182/28 (1959).
[247] A. Grothendieck, ?Formule de Lefschetz et rationalité des fonctions L,? Sémin. Bourbaki. Secrét, math., 17(1):279-01?279-15 1964?1965(1966). Dix exposes cohomol. schémas. Amsterdam-Paris, 31?45 (1968).
[248] A. Grothendieck, ?Un théoréme sur les homomorphismes de schémas abeliens,? Invent. math., 2(1):59?78 (1966). · Zbl 0147.20302 · doi:10.1007/BF01403390
[249] A. Grothendieck, ?Le groupe de Brauer Sémin,? Bourbaki. Secrét, math., 17(3):290-01?290-21 1964?1965 (1966).
[250] A. Grothendieck, ?Le groupe de Brauer. II,? Dix exposés cohomol. shemas. Amsterdam-Paris, 67?87 (1968).
[251] A. Grothendieck, ?Le groupe de Brauer. III,? Examples et compléments. Dix exposés cohomol. schémas. Amsterdam-Paris, 88?188 (1968).
[252] A. Grothendieck, ?Classes de Chern et representations lineaires des groupes discrets,? Dix exposés cohomol. schémas. Amsterdam-Paris, 215?305 (1968).
[253] H. Hasse, ?Zahlentheorie. 2 erw,? Aufl. Berlin, Akad.-Verl., 1963, XVI, 611S. · Zbl 0123.04201
[254] H. Hasse, ?Modular functions and elliptic curves over finite fields,? Sirapos. internaz. geometria algebrica, Roma, 1965. Roma, 248?266 (1967).
[255] H. Hasse, ?Modular functions and elliptic curves over finite fields,? Rend. mat. e applic., 25(1?2):248?266 1966(1967).
[256] T. Hayashida, ?A class number associated with a product of two elliptic curves,? Natur. Sci. Rept. Ochanomizu Univ., 16(1):9?19 (1965).
[257] T. Hayashida, ?A class number associated with the product of an elliptic curves with itself,? J. Math. Soc. Japan, 20(1?2):26?43 (1968). · Zbl 0186.26501 · doi:10.2969/jmsj/02010026
[258] J. P. Heisler, ?Diophantine problems for matrix rings, rings of functions, and other rings,? Doct. diss. Univ. Mich., 1965, p. 71. Dissert. Abstrs, 26(11):6471 (1966).
[259] Y. Hellegouarch, ?Une propriété arithmétique des points exceptionnels rationnels d’ordre pair d’une cubique de genre 1. C. r. Acad. sci., 260(23):5989?5992 (1965). · Zbl 0135.09303
[260] Y. Hellegouarch, ?Applications d’une propriété arithmétique des points exceptionnels d’orde pair d’unecubique de genre 1 C. r,?. Acad. sci., 260(24):6256?6258 (1965).
[261] Y. Hellegouarch, ?Application de la théorie des fonctions théta á un probléme de théorie des nombres,? C. r. Acad. Sci., 269(19):A883-A884 (1969). · Zbl 0184.46502
[262] T. Hiramatsu, ?Modular forms obtained from L-functions with Grossen-characters of Q(??3). Comment. math. Univ. St. Pauli, 14(2):65?70 (1966). · Zbl 0143.06303
[263] K. Hoechsmann, ?Zahlentheorie (insbesondere algebraische Zahlentheorie),? Math. Forschungsinst. Oberwolfach., 11S (1964).
[264] T. Honda, ?On the Jacobian variety of the algebraic curve y2=1?x1 over a field of characteristic p> 0,? Osaka J. Math., 3(2):189?194 (1966).
[265] T. Honda, ?Formal groups and zeta-functions,? Osaka J. Math., 5(2):199?213 (1968). · Zbl 0169.37601
[266] T. Honda, ?Isogeny classes of abelian varieties over finite fields,? J. Math. Soc. Japan, 20(1?2):83?95 (1968). · Zbl 0203.53302 · doi:10.2969/jmsj/02010083
[267] J.-I. Igusa, ?Structure theorems of modular varieties,? Proc. Internat. Congr. Math. Aug. 1962, Djursholm. Uppsala, 522?525 (1963).
[268] J.-I. Igusa, ?On the algebraic theory of elliptic modular functions,? J. Math. Soc. Japan, 20(1?2):96?106 (1968). · Zbl 0164.21101 · doi:10.2969/jmsj/02010096
[269] Y. Ihara, ?On the discrete subgroups of the two by two projective linear group over p-adic fields,? J. Math. Soc. Japan, 18(3):219?235 (1966). · Zbl 0158.27702 · doi:10.2969/jmsj/01830219
[270] Y. Ihara, ?Hecke polynomials as congruence ?-functions in elliptic modular case,? Ann. Math., 85(2):267?295 (1967). · Zbl 0181.36501 · doi:10.2307/1970442
[271] Y. Ihara, ?The congruence monodromy problems,? J. Math. Soc. Japan, 20(1?2):107?121 (1968). · Zbl 0188.24802 · doi:10.2969/jmsj/02010107
[272] K. F. Ireland, ?On the zeta-function of an algebraic variety,? Amer. J. Math., 89(3):643?660 (1967). · Zbl 0197.47201 · doi:10.2307/2373238
[273] M. Ishida, ?On rational points of homogeneous spaces over finite fields,? J. Math. Soc. Japan, 20(1-2):122?129 (1968). · Zbl 0157.27602 · doi:10.2969/jmsj/02010122
[274] H. Jacques and R. P. Langlands, ?Automorphic forms on GL(2),? Lect. Notes Math., 1970, 114, VII, p. 548. · Zbl 0236.12010
[275] M. Jarden, ?Rational points on algebraic varieties over large number fields,? Bull. Amer. Math. Soc., 75(3):603?606 (1969). · Zbl 0174.52702 · doi:10.1090/S0002-9904-1969-12257-3
[276] K. Katayama, ?On the Hilbert-Siegel modular group and abelian varieties,? J. Fac. Sci, Univ. Tokyo, 9(3):261?291 (1962). Sec. 1. · Zbl 0236.14018
[277] K. Katayama, ?On the Hilbert-Siegel modular group and abelian varieties. II,? J. Fac. Sci. Univ. Tokyo, 9(5):433?467 (1963). Sec. 1. · Zbl 0236.14019
[278] N. Katz, ?On the differential equations satisfied by period matrices,? Publs math. Inst. hautes études scient., 35:223?258 1968(1969).
[279] V. J. Katz, ?The Brauer group of a regular local ring,? Doct. diss. Brandeis Univ., 1968, p. 79. Dissert. Abstrs., B29(8):2976?2977 (1969).
[280] E. F. Kennel, ?Class field theory in dimension greater than one,? Doct. diss. Univ. Ore., 1965, p. 68. Dissert. Abstrs, 26(9):5462 (1966).
[281] S. L. Kleiman, ?Algebraic cycles and the Weil conjectures,? Dix exposés cohomol. schémas. Amsterdam-Paris, 359?386 (1968).
[282] H. Koch, ?Über die Galoissche Gruppe der algebraischen Abschiessungeines Potenzreihenkorpers mit endlichem Konstantenkorper,? Math. Nachr., 35(5?6):323?327 (1967). · Zbl 0189.05304 · doi:10.1002/mana.19670350509
[283] S. Konno, ?On Artin’s L-functions of the algebraic curves uniformized by certain automorphic functions,? J. Math. Soc. Japan, 15(1):89?100 (1963). · Zbl 0131.31001 · doi:10.2969/jmsj/01510089
[284] T. Kubota, ?An application of the power residue theory to some abelian functions,? Nagoya Math. J., 27(1):51?54 (1966). · Zbl 0168.29601 · doi:10.1017/S0027763000011843
[285] M. Kuga and G. Shimura, ?On the zeta-function of a fibre variety whose fibres are abelian varieties,? Ann. Math., 82(3):478?539 (1965). · Zbl 0166.16801 · doi:10.2307/1970709
[286] W. Kuyk, ?Extensions de corps hilbertiens,? J. Algebra, 14(1):112?124 (1970). · Zbl 0211.38601 · doi:10.1016/0021-8693(70)90138-9
[287] S. Lang, ?Diophantine geometry,? New York, Intersci. Publ., 1962, p. 170. · Zbl 0115.38701
[288] S. Lang, ?Transcendental points on group varieties,? Topology, 1:313?318 (1962). Oct?Dec. · Zbl 0116.38105 · doi:10.1016/0040-9383(62)90018-6
[289] S. Lang, ?Les formes bilinéaires de Neron et Tate,? Sémin. Bourbaki. Secrét, math., 16(3):274/01?274/11 (1967).
[290] S. Lang, ?Diophantine approximations on toruses,? Amer. J. Math., 86(3):521?533 (1964). · Zbl 0142.29601 · doi:10.2307/2373022
[291] S. Lang, ?Division points on curves,? Ann. mat. pura ed. appl., 70:229?234 (1965). · Zbl 0151.27401 · doi:10.1007/BF02410091
[292] S. Lang, ?Algebraic values of meromorphic functions,? Topology, 3(2):183?191 (1965). · Zbl 0133.13804 · doi:10.1016/0040-9383(65)90042-X
[293] S. Lang, ?Algebraic values of meromorphic functions. II,? Topology, 5(4):363?370 (1966). · Zbl 0168.19002 · doi:10.1016/0040-9383(66)90028-0
[294] R. P. Langlands, ?Problems in the theory of automorphic forms,? Lect. Notes Math., 170:18?61 (1970). · Zbl 0225.14022 · doi:10.1007/BFb0079065
[295] M. Lazard, ?Groupes analytiques p-adiques,? Publs math. Inst. hautes études scient., 1965, No: 26, p. 219.
[296] Lecture Notes. American Mathematical Society and Summer Institute on Algebraic Geometry. Woods Hole, Mass., July 6?31, 1964. S. 1., s. a., p. 237.
[297] J. R. C. Leitzel, ?On the group of divisor classes of degree zero of an algebraic curve,? Doct. diss. Ind. Univ., 1965, p. 41. Dissert. Abstrs., 26(11):6743?6744 (1966).
[298] J. R. C. Leitzel, ?Galois cohomology and class number in constant extension of algebraic function fields,? Proc. Amer. Math. Soc., 22(1):206?208 (1969). · doi:10.1090/S0002-9939-1969-0242799-6
[299] M. Levin, ?On the group of rational points on elliptic curves over function fields,? Amer. J. Math., 90(2):456?460 (1968). · Zbl 0179.26402 · doi:10.2307/2373538
[300] S. Lichtenbaum, ?Curves over discrete valuation rings,? Amer. J. Math., 90(2):380?405 (1968). · Zbl 0194.22101 · doi:10.2307/2373535
[301] S. Lichtenbaum, ?The period-index problem for elliptic curves,? Amer. J. Math., 90(4):1209?1223 (1968). · Zbl 0187.18602 · doi:10.2307/2373297
[302] S. Lichtenbaum, ?Duality theorems for curves over p-adic fields,? Invent. math., 7(2):120?136 (1969). · Zbl 0186.26402 · doi:10.1007/BF01389795
[303] J. Lubin, ?One-parameter formal Lie groups over p-adic integer rings,? Ann. Math., 80(3):464?484 (1964). · Zbl 0135.07003 · doi:10.2307/1970659
[304] J. Jubin, ?Correction to ?One-parameter formal Lie groups over p-adic integer rings,?? Ann. Math., 84(2):372 (1966). · Zbl 0146.25702 · doi:10.2307/1970451
[305] J. Lubin, ?Finite subgroups and isogenies of one-parameter formal Lie groups,? Ann. Math., 85(2):296?302 (1967). · Zbl 0166.02803 · doi:10.2307/1970443
[306] J. Lubin and J. Tate, ?Formal complex multiplication in local fields,? Ann. Math., 81(2):380?387 (1965). · Zbl 0128.26501 · doi:10.2307/1970622
[307] J. Lubin and J. Tate, ?Formal moduli for one-parameter formal Lie groups,? Bull. Soc. math. France, 94(1):49?59 (1966). · Zbl 0156.04105 · doi:10.24033/bsmf.1633
[308] S. Lubkin, ?On a conjecture of Andre Weil,? Amer. J. Math., 89(2):443?548 (1967). · Zbl 0208.48403 · doi:10.2307/2373129
[309] S. Lubkin, ?A p-adic proof of Weil’s conjectures,? Ann. Math., 87(1):105?194 (1968). · Zbl 0188.53004 · doi:10.2307/1970596
[310] S. Lubkin, ?A result on the Weil zeta-function,? Trans. Amer. Math. Soc., 139:297?300 (1969). May. · Zbl 0183.25502 · doi:10.1090/S0002-9947-1969-0242832-6
[311] M. L. Madan, ?On the Galois cohomology of tamely ramified fields of algebraic functions,? Arch. Math., 17(5):400?408 (1966). · Zbl 0143.06704 · doi:10.1007/BF01899619
[312] Yu. I. Manin [J. I. Manin], ?Moduli fuchsiani,? Ann. Scuola norm. super. Pisa Sci. fis. et mat., 19(1):113?126 (1965).
[313] Yu. I. Manin [J. I. Manin], ?Two theorems on rational surfaces,? Rend. mat. e applic., 25(1?2):198?207 1966(1967).
[314] Yu. I. Manin [J. I. Manin], ?Hyper surfaces cubiques. II,? Automorphismes birationnels en dimension deux. Invent. math., 6(4):334?352 (1969).
[315] T. Matsui, ?On the endomorphism algebra of jacobian varieties attached to the fields of elliptic modular functions,? Osaka J. Math., 1(1):25?31 (1964). · Zbl 0141.18302
[316] B. Mazur and L. Roberts, ?Local Euler characteristics,? Invent. math., 9(3):201?234 (1970). · Zbl 0191.19202 · doi:10.1007/BF01404325
[317] A. Menalda, ?Representations of modulary congruence groups,? Proc. Koninkl. nederl. akad. wet., A68(5):760?767 (1965). Indagationes math., 27(5):760?767 (1965). · Zbl 0141.02602 · doi:10.1016/S1385-7258(65)50079-2
[318] J. Milne, ?Extensions of abelian varieties defined over a finite field,? Invent. math., 5(1):63?84 (1968). · Zbl 0205.24901 · doi:10.1007/BF01404538
[319] J. Milne, ?The Tate-Safarevic group of a constant abelian variety,? Invent. math., 6(1):91?105 (1968). · Zbl 0159.22402 · doi:10.1007/BF01389836
[320] M. Miwa, ?On Mordell’s conjecture for algebraic curves over function fields,? J. Math. Soc. Japan, 18(2):182?188 (1966). · Zbl 0142.18704 · doi:10.2969/jmsj/01820182
[321] M. Miwa, ?On Mordell’s conjecture for the curve over function field with arbitrary constant field,? J. Math. Soc. Japan, 21(2):229?233 (1969). · Zbl 0217.05001 · doi:10.2969/jmsj/02120229
[322] M. Miwa, ?Galois cohomology and birational invariant of algebraic varieties,? J. Math. Soc. Japan, 21(4):584?603 (1969). · Zbl 0207.19901 · doi:10.2969/jmsj/02140584
[323] L. J. Mordell, ?Rownanie diofantyczne y2=ax3+bx2+cx+d. Roczn. Polsk. towarz. mat., 7(2):203?210 (1964). Ser. 2.
[324] L. J. Mordell, ?Diophantine equations,? London, Acad. Press, 1969, X, p. 312. · Zbl 0188.34503
[325] M. Mori, ?Über die rationale Darstellbarkeit der Heckeschen Operatoren,? J. Math. Soc. Japan, 15(3):256?267 (1963). · Zbl 0142.05601 · doi:10.2969/jmsj/01530256
[326] H. Morikawa, ?Theta-functions and abelian varieties over valuation fields of rank one. I,? Nagoya Math. J., 20:1?27 (1962). · Zbl 0115.39001 · doi:10.1017/S0027763000023631
[327] H. Morikawa, ?On theta-functions and abelian varieties over valuation fields of rank one. II, Theta functions and abelian functions of characteristic p>(0),? Nagoya Math. J., 21:231?250 (1962). Dec. · Zbl 0115.39002 · doi:10.1017/S0027763000023850
[328] Y. Morita, ?Hecke polynomials Hkp(u) (p=2 or 3),? J. Fac. Sci. Univ. Tokyo, 15(1):99?105 (1968). Sec. 1. · Zbl 0165.54901
[329] Y. Morita, ?Hecke polynomials of modular groups and congruence zeta-functions of fibre varieties,? J. Math. Soc. Japan, 21(4):617?637 (1969). · Zbl 0212.25705 · doi:10.2969/jmsj/02140617
[330] D. Mumford, ?A remark on Mordell’s conjecture,? Amer. J. Math., 87(4):1007?1016 (1965). · Zbl 0151.27301 · doi:10.2307/2373258
[331] D. Mumford, ?A note to Shimura’s paper ?Discontinuous groups and Abelian varieties,?? Math. Ann., 181(4):345?351 (1969). · Zbl 0169.23301 · doi:10.1007/BF01350672
[332] T. Murasaki, ?On rational cohomology classes of type (p, p) on an Abelian variety,? Sci. Rets Tokyo Kyoiku Daigaku, A10(232?248):66?74 (1969). · Zbl 0176.18301
[333] A. Nerode, ?A decision method for p-adic integral zeros of diophantine equations,? Bull. Amer. Math. Soc., 69(4):513?517 (1963). · Zbl 0112.27304 · doi:10.1090/S0002-9904-1963-10979-9
[334] A. Néron, ?Modéles minimaux des variétés abéliennes sur les corps locaux et globaux,? Publs math. Inst. hautes études scient., 1964, No. 21, p. 128.
[335] A. Néron, ?Hauteurs des points rationnels d’une variéte abélienne définie sur un corps global,? Actas Coloq. internac. geometría algebraica. Madrid, 1965. Madrid, 49?56 (1965).
[336] A. Neron, ?Quasi-fonctions et hauterus sur les variéties abéliennes,? Ann. Math., 82(2):249?331 (1965). · Zbl 0163.15205 · doi:10.2307/1970644
[337] A. Neron, ?Dege d’intersection en géométrie diophantienne,? in: Internat. Congr. Mathematicians. Report Abstracts [in Russian], Moscow (1966), pp. 71?81.
[338] A. Néron, ?Modeles minimaux des espaces principaux homogénes sur les courbes elliptiques,? Proc. Conf. Local Fields, Driebergen, 1966. Berlin-Heidelberg-New York, 66?77 (1967).
[339] A. Neron, ?Degre d’intersection en géométrie diophantienne,? in: Internat. Congr. Mathematicians. Report Abstracts [in Russian], Moscow (1966), pp. 485?495.
[340] A. Néron, ?Modéles minimaux et différentielles,? Sympos. math. Vol. 3. Roma, 279?293 (1970).
[341] O. Neumann, ?Zur Galois-Kohomologie Abelsher Mannigfaltigkeiten,? Math. Nachr., 40(4?6):367?378 (1969). · Zbl 0176.50602 · doi:10.1002/mana.19690400414
[342] N. Nobusawa, ?On rationality of algebraic function fields,? Canad. Math. Bull., 12(3):339?341 (1969). · Zbl 0184.07701 · doi:10.4153/CMB-1969-044-0
[343] A. P. Ogg, ?Cohomology of Abelian varieties over function fields,? Ann. Math., 76(2):185?212 (1962). · Zbl 0121.38002 · doi:10.2307/1970272
[344] A. P. Ogg, On Pencils of Curves of Genus Two, Topology, 5(4):355?362 (1966). · Zbl 0145.17802 · doi:10.1016/0040-9383(66)90027-9
[345] A. P. Ogg, ?Abelian curves of 2-power conductor,? Proc. Cambridge Philos. Soc., 62(2):143?148 (1966). · Zbl 0163.15403 · doi:10.1017/S0305004100039670
[346] A. P. Ogg, ?Abelian curves of small conductor,? J. reine und angew. Math., 226:204?215 (1967). · Zbl 0163.15404
[347] A. P. Ogg, ?Elliptic curves and wild ramification,? Amer. J. Math., 89(1):1?21 (1967). · Zbl 0147.39803 · doi:10.2307/2373092
[348] A. P. Ogg, ?On a convolution of L-series,? Invent. math., 7(4):297?312 (1969). · Zbl 0205.50902 · doi:10.1007/BF01425537
[349] A. P. Ogg, ?A remark on the Sato-Tate conjecture,? Invent. math., 9(3):198?200 (1970). · Zbl 0219.14013 · doi:10.1007/BF01404324
[350] L. D. Olson, ?The group Ck/?kDk and the period-index problem in WC groups,? Doct. diss. Columbia Univ., 1968, 33 pp. Dissert. Abstrs., B29(6):2121 (1968).
[351] O. T. O’Meara, ?Introduction to quadratic forms,? Berlin, Springer (1963), p. 342.
[352] O. T. O’Meara, ?On the Tamagawa number of algebraic tori,? Ann. Math., 78(1):47?73 (1963). · Zbl 0122.39101 · doi:10.2307/1970502
[353] O. T. O’Meara, ?On the relative theory of Tamagawa numbers,? Bull. Amer. Math. Soc., 70(2):325?326 (1964). · Zbl 0119.27802 · doi:10.1090/S0002-9904-1964-11140-X
[354] O. T. O’Meara, ?The Gauss-Bonnet theorem and the Tamagawa number,? Bull. Amer. Math. Soc., 71(2):345?348 (1965). · Zbl 0131.26801 · doi:10.1090/S0002-9904-1965-11290-3
[355] O. T. O’Meara, ?On the relative theory of Tamagawa numbers,? Ann. Math., 82(1):88?111 (1965). · Zbl 0135.08804 · doi:10.2307/1970563
[356] O. T. O’Meara, ?On Tamagawa numbers,? in: Internat. Congr. Mathematicians. Report Abstracts [in Russian], Moscow (1966), pp. 81?82.
[357] O. T. O’Meara, ?On Tamagawa numbers,? Proc. Internat. Congr. Mathematicians 1966 [in Russian], ?Mir,? Moscow (1968), pp. 509?512.
[358] O. T. O’Meara, ?An integral attached to a hypersurface,? Amer. J. Math., 90(4):1223?1236 (1968). · Zbl 0186.04301 · doi:10.2307/2373300
[359] O. T. O’Meara, ?A mean value theorem in adele geometry,? J. Math. Soc. Japan, 20(1?2):275?288 (1968). · Zbl 0185.49101 · doi:10.2969/jmsj/02010275
[360] F. Ourt, ?Commutative group schemes,? New York, Springer (1966), var. P21., ill.; Publisher’s Weekly, 190(3):103 (1966).
[361] F. Ourt and D. Mumford, ?Deformations and liftings of finite, commutative group schemes,? Invent. math., 5(4):317?334 (1968). · Zbl 0179.49901 · doi:10.1007/BF01389779
[362] C. Pisot, ?L’analyse p-adique en théorie des nombres,? Sémin. théor. nombres Delange-Pisot. Fac. sci. Paris, 1963?1964, 5(1):1?6 (1967).
[363] H. J. Pohlmann, ?On the zeta-function of an Abelian variety of complex multiplication type,? Doc. diss. Berkeley, Univ. California (1965), p. 59. Dissert. Abstrs. 26(2):1071 (1965).
[364] H. J. Pohlmann, ?Algebraic cylces on Abelian varieties of complex multiplication type,? Ann. Math., 88(1):161?180 (1968). · Zbl 0201.23201 · doi:10.2307/1970570
[365] G. Poitou, ?Points rationalles sur les courbes,? Semin. P. Dubreil, Moscow-Leningrad, Dubreil-Ja-cotin et C. Pisot; Fac. Sci. Paris, 1960?1961, 14, fasc. 2, Paris, 1963, 21/01?21/12.
[366] H. Popp, ?Zur Reduktionstheorie algebraischer Funktionenkorper vom Transzendenzgrad 1: Existenz einer regularen Reuktion zu vorgegebenem Funktionenkorper als Restklassenkorper,? Arch. Math., 17(6):510?522 (1966). · Zbl 0192.26901 · doi:10.1007/BF01899423
[367] H. Popp, ?Über die Fundamentalgruppe einer punktierten Riemannschen Flächen bei Charakteristik p>0,? Math. Z., 96(2):111?124 (1967). · Zbl 0153.50402 · doi:10.1007/BF01111582
[368] H. Popp, ?Über des Verhalten des Geschlech eines Funktonenkoprpers einer Variablen bei Konstantenreduktion,? Math. Z., 106(1):17?35 (1968). · Zbl 0177.49102 · doi:10.1007/BF01137969
[369] Y. Pourchet, ?Formes cubiques sur les corps locaux,? Sémin. théor. nombres Delange-Pisto, Fac. sci. Paris, 1965?1966 (1967), 7, fasc. 2, No. 18, 1?9.
[370] Proceedings of a Conference on Local Fields, NUFFIC Summer School, Driebergen, 1966. Ed. Springer T. A. Berlin-Heidelberg-New York, Springer (1967), p. 214.
[371] S. Raghavan and S. Rangachari, ?On zeta-functions of quadratic forms,? Ann. Math., 85(1):46?57 (1967). · Zbl 0163.04503 · doi:10.2307/1970525
[372] A. R. Rajwade, ?Arithmetic on curves with complex multiplication by (-2)1/2,? Proc. Cambridge Philos. Soc., 64(3):659?672 (1968). · Zbl 0188.25001 · doi:10.1017/S0305004100043334
[373] A. R. Rajwade, ?Arithmetic on curves with complex multiplication by the Eisenstein integers,? Proc. Cambrisge Philos. Soc., 65(1):59?73 (1969). · Zbl 0165.54804 · doi:10.1017/S030500410004408X
[374] S. S. Rangachari, ?Abelian varieties attached to automorphic forms,? J. Math. Soc. Japan, 14(3):300?311 (1962). · Zbl 0142.05401 · doi:10.2969/jmsj/01430300
[375] G. Rauzy, ?Points transcendants sur les variétiés de groupe,? Sémin. Bourbaki. Secret. Math., 16(3):276/01?276/08 (1963?1964).
[376] M. Raynaud, ?Caractéristique d’Euler-Poincaré d’un faisceau et cohomologie des variétés abéliennes,? Semin. Bourbaki. Secrét. math., 17(2):286-01?286-19 (1966); Dix exposés cohomol. schémas. Amsterdam-Paris (1968), pp. 12?30.
[377] M. Raynaud, ?Modeles de Néron,? C. r. Acad. Sci., AB262(6):A345-A347 (1966). · Zbl 0141.18203
[378] M. Raynaud, ?Specialisation du foncteur de Picard,? C. r. Acad. sci., 264(22):A941-A943 (1967). · Zbl 0148.41701
[379] M. Raynaud, ?Specialisation du foncteur de Picard. II. Critere numérique de représentabilité,? C. r. Acad. sci., 264(23):A1001-A1004 (1967). · Zbl 0148.41702
[380] D. Reich, ?A p-adic fixed point formula,? Amer. J. Math., 51(3):835?850 (1969). · Zbl 0213.47502
[381] P. Ribenboim, ?La conjecture d’Artin sur les equations diophantiennes,? Queen’s Papers Pure and Appl. Math., No. 14, p. 167.(1968).
[382] P. Roquette, ?On the Galois cohomology of the projective linear group and its applications to the construction of generic splitting fields of algebras,? Math. Ann., 150(5):411?439 (1963). · Zbl 0114.02206 · doi:10.1007/BF01357435
[383] P. Roquette, ?Splitting of algebras by function fields of one variable,? Nagoya Math. J., 27(2):625?642 (1966). · Zbl 0147.03801 · doi:10.1017/S0027763000026441
[384] P. Roquette, ?Analytische Theorie der p-adischen elliptischen Funktonen,? Sitzungsber. Berliner Math. Ges., 1967?1968, S. 1, 1969, 38.
[385] C. Ryavec, ?Cubic forms over algebraic number fields,? Proc. Cambridge Philos. Soc., 66(2):323?333 (1969). · Zbl 0222.10024 · doi:10.1017/S0305004100045011
[386] P. Samuel, ?La conjecture de Mordell pour les corps de fonctions,? Sémin. Bourbaki. Secrét. math., 1964?1965, 17(2):287/01?287/19 (1966).
[387] P. Samuel, ?Compléments a un article de Hans Grauert sur la conjecture de Mordell,? Publs math. Inst. hautes études scient., No. 29, 311?318 (1966).
[388] P. Samuel, ?A propos d’équations diophantiennes,? Bull. Assoc. professeurs math. enseign. public., 46(256):5?10 (1967).
[389] P. Samuel, ?Courbes algébriques,? Enseign. math., 13(4):305?311 (1968).
[390] I. R. Shafarevich [Schafarewitsch], ?Einige Anwendungen der Galoisschen Theorie auf Diophantische Gleichungen,? Schriftenr. Inst. Math. Dtsch. Akad. Wiss. Berlin, No. 13, 81?82 (1963).
[391] I. R. Shafarevich [Schafarewitsch], ?Lectures on minimal models and birational transformations of two dimensional schemes,? Tata Institute of Fundamental Research, Bombay (1966), p. 175.
[392] S. Schanuel, ?On heights in number fields,? Bull. Amer. Math. Soc., 70(2):262?263 (1964). · Zbl 0122.04202 · doi:10.1090/S0002-9904-1964-11110-1
[393] W. Schaflau, ?Über die Brauer-Gruppe eines algebraischen Funktpnenkorpers in einer Variablen,? J. reine und angew. Math., 239-240(1):1?6 (1969).
[394] W. Schmidt, ?On heights of algebraic subspaces and diophantine approximations,? Ann. Math., 85(3):430?472 (1967). · Zbl 0152.03602 · doi:10.2307/1970352
[395] B. Segre, ?Intorno ad una congettura di Lang e Weil,? Atti Accad. naz. Lincei. Rend. Cl. sci. fis., mat. e natur., 34(4):337?339 (1963).
[396] S. Sen abd J. Tate, ?Ramification groups of local fields,? J. Indian Math. Soc., 1963, 27(3?4):197?202 (1964). · Zbl 0136.02702
[397] J.-P. Serre, ?Endomorphismes complement continus des espaces de Banach p-adiques,? Publs. math. Inst. hautes études scient., 12:69?85 (1962). · Zbl 0104.33601 · doi:10.1007/BF02684276
[398] J.-P. Serre, ?Cohomologie galoisienne des groupes algébriques linéaries,? Colloq. théor. groupes algebr. Bruxelles, 1962, Louvain-Paris (1962), pp. 53?68.
[399] J.-P. Serre, ?Groupes analytiques p-adiques,? Sémin. Bourbaki. Secrét, math., 16(2):270/01?270/10 (1963?1964).
[400] J.-P. Serre, ?Exemples de variétés projectives conjuguées non homéormorphes,? C. r. acad sci., 258(17):4194?4196 (1964). · Zbl 0117.38003
[401] J.-P. Serre, ?Sur les groupes de congruences des variétés abéliennes,? Izv. AN SSSR. Ser. Mat., 28(1):3?20 (1964).
[402] J.-P. Serre, ?Zeta and L functions,? Lect. Notes. Amer. Math. Soc. and Summer Inst. Algebr. Geometry, Woods Hole, Mass., 1964, S. 1, s. a., 1?13; Arithmet. Algebraic Geometry, Proc. Conf., Purdue Univ., 1963, New York (1965), pp. 82?92.
[403] J.-P. Serre, ?Cohomologie Galoisienne,? Lect. Notes Math., No. 5, p. 194 (1965).
[404] J.-P. Serre, ?Groupes de Liel-adiques attachés aux courbes elliptiques,? Colloq. internat. Centre nat. rech. scient., No. 143, 239?256 (1966).
[405] J.-P. Serre, ?Sur les groupes de Galois, attachés aux groupes p-divisibles,? Proc. Conf. Local Fields, Driebergen, 1966. Berlin-Heidelber-New York (1967), pp. 118?131.
[406] J.-P. Serre, ?Une interprétation des congruences relatives a la function ? de Ramanujan,? Sémin. théor. nombres Xelange-Pisot-Poitou. Fac. Sci. Paris, 1967?1968, 9(1):14/01?14/17 (1969).
[407] J.-P. Serre, Abelianl-adic representations and elliptic curves,? New York, Benjamin (1968), 208 pp.
[408] J.-P. Serre, ?Facteurs locaux des fonctions zeta des vériétés algébriques (définitions et conjectures),? Sémin. Delange-Pisot-Poitou. Théor. nombres. Fac. sci. Paris, 11(2):19/01?19/15 (1969?1970.
[409] J.-P. Serre and J. Tate, ?Good reduction of Abelian varieties,? Ann. Math., 88(3):492?517 (1968). · Zbl 0172.46101 · doi:10.2307/1970722
[410] S. S. Shatz, ?Cohomology of artinian group schemes over local fields,? Ann. Math., 79(3):411?449 (1964). · Zbl 0152.19302 · doi:10.2307/1970403
[411] S. S. Shatz, ?Grothendieck topologies over complete local rings,? Bull. Amer. Math. Soc., 72(2):303?306 (1966). · Zbl 0142.00902 · doi:10.1090/S0002-9904-1966-11505-7
[412] S. S. Shatz, ?The cohomological dimension of certain Grothendieck topologies,? Ann. Math., 83(3):572?595 (1966). · Zbl 0154.20802 · doi:10.2307/1970479
[413] S. S. Shatz, ?The cohomology of certain elliptic curves over local and quasi-local fields,? III. J. Math., 11(2):234?241 (1967). · Zbl 0146.42301
[414] S. S. Shatz, ?Principal homogeneous spaces for finite group schemes,? Proc. Amer. Math. Soc., 22(3):678?680 (1969). · Zbl 0186.54701 · doi:10.1090/S0002-9939-1969-0249442-0
[415] G. Shimura, ?On the zeta-functions of the algebraic curves uniformized by certain automorphic functions,? J. Math. Soc. Japan, 13(3):275?331 (1961). · Zbl 0218.14013 · doi:10.2969/jmsj/01330275
[416] G. Shimura, ?On the class-fields obtained by complex multiplication of Abelian varieties,? Osaka J. Math., 14(1):33?44 (1962). · Zbl 0116.02903
[417] G. Shimura, ?On Dirichlet series and Abelian varieties attached to automorphic forms,? Ann. Math., 76(2):237?294 (1962). · Zbl 0142.05501 · doi:10.2307/1970275
[418] G. Shimura, ?On modular correspondences for Sp(n, Z) and their congruence relations,? Proc. Nat. Acad. Sci. USA, 49(6):824?828 (1963). · Zbl 0122.08803 · doi:10.1073/pnas.49.6.824
[419] G. Shimura, ?On purely transcendental fields of automorphic functions of several variables,? Osaka. J. Math., 1(1):1?14 (1964). · Zbl 0149.04302
[420] G. Shimura, ?On the field of definition for afield of automorphic functions,? Ann. Math., 80(1):160?189 (1964). · Zbl 0196.53203 · doi:10.2307/1970497
[421] G. Shimura, ?The zeta-function of an algebraic variety and automorphic functions,? Lect. Notes. Amer. Math. Soc. and Summer Inst. Algebr. Geometry, Woods Hole, Mass. (1964), S. 1., s. a., 1?23.
[422] G. Shimura, ?Number fields and zeta-functions associated with discontinuous groups and algebraic varieties,? Proc. Internat. Congr. Mathematicians, 1966 [in Russian], ?Mir,? Moscow (1968), pp. 290?299. · Zbl 0226.14012
[423] G. Shimura, ?Number fields and zeta-functions associated with discontinuous groups and algebraic varieties,? in: Internat. Congr. Mathematicians. Report Abstracts [in Russian], Moscow (1966), pp. 100?107.
[424] G. Shimura, ?A reciprocity law in nonsolvable extensions,? J. reine und angew. Math., 221:209?220 (1966).
[425] G. Shimura, ?Moduli and fibre systems of Abelian varieties,? Ann. Math., 83(2):294?338 (1966). · Zbl 0141.37503 · doi:10.2307/1970434
[426] G. Shimura, ?Discontinuous groups and Abelian varieties,? Math. Ann., 168:171?199 (1967). · Zbl 0145.17401 · doi:10.1007/BF01361553
[427] G. Shimura, ?Construction of class fields and zeta-functions of algebraic curves,? Ann. Math., 85(1):58?159 (1967). · Zbl 0204.07201 · doi:10.2307/1970526
[428] G. Shimura, ?Algebraic varieties without deformation and the Chow variety,? J. Math. Soc. Japan, 20(1?2):336?341 (1968). · Zbl 0197.17202 · doi:10.2969/jmsj/02010336
[429] G. Shimura, ?Automorphic functions and number theory,? Berlin, Springer (1968), p. 69. · Zbl 0183.25402
[430] G. Shimura and Y. Taniyama, ?Complex multiplication of Abelian varieties and its applications to number theory,? S. 1., Math. Soc. Japan (1961). · Zbl 0112.03502
[431] K. Shiratani, ?Über singuläre Invarianten elliptischer Funktionenkorper,? J. reine und angew. Math., 226:108?115 (1967).
[432] K. Shiratani, ?On certain formal Lie groups over p-adic integer rings,? Mem. Fac. Sci. Kyushu Univ. A22(1):31?42 (1968). · Zbl 0185.07404
[433] K. Shiratani, ?Note on isogenies of one-parameter formal Lie groups over local integer rings,? Mem. Fac. Sci. Kyushu Univ., A23(2):156?158 (1969). · Zbl 0209.06101
[434] K. Shiratani, ?On the Lubin-Tate reciprocity law,? J. Number Theory, 1(4):494?499 (1969). · Zbl 0184.07703 · doi:10.1016/0022-314X(69)90010-9
[435] T. Skolem, ?A general remark concerning the study of rational points on algebraic curves,? Kgl. norske vid. selskabs forhandl., 36(1):3 (1963).
[436] H. M. Stark, ?The role of modular functions in a class-number problem,? J. Number Theory, 1(2):252?260 (1969). · Zbl 0198.07402 · doi:10.1016/0022-314X(69)90044-4
[437] N. M. Stephens, ?Conjectures concerning elliptic curves,? Bull. Amer. Math. Soc., 73(1):160?163 (1967). · Zbl 0168.18902 · doi:10.1090/S0002-9904-1967-11697-5
[438] N. M. Stephens, ?The diophantine equation X3+Y3= DZ3 and the conjectures of Birch and Swinnerton-Dyer,? J. reine und angew. Math., 231:121?162 (1968).
[439] N. M. Stephens, ?A corollary to a conjecture of Birch and Swinnerton-Dyer,? J. London Math. Soc., 43(1):146?148 (1968). · Zbl 0155.30103 · doi:10.1112/jlms/s1-43.1.146
[440] H. P. F. Swinnerton-Dyer, ?The conjectures of Birch and Swinnerton-Dyer, and of Tate,? Proc. Conf. Local Fields, Driebergen, 1966. Berlin-Heidelberg-New York (1967), pp. 132?157.
[441] H. P. F. Swinnerton-Dyer, ?An application of computing to class field theory,? Algebr. Number Theory. London-New York, Acad. Press (1967), pp. 280?291.
[442] H. P. F. Swinnerton-Dyer, ?The zeta-function of a cubic surface over a finite field,? Proc. Cambridge Philos. Soc., 63(1):63(1):55?71 (1967). · Zbl 0201.53702 · doi:10.1017/S0305004100040895
[443] T. Takahashi, ?Galois cohomology of finitely generated modules,? Tohoku Math. J., 21(1):102?111 (1969). · Zbl 0209.35902 · doi:10.2748/tmj/1178243038
[444] J. Tate, ?Duality theorems in Galois cohomology over number fields,? Proc. Internat. Congr. Math. Aug. 1962, Djursholm, Uppsala (1963), pp. 288?295.
[445] J. Tate, ?Algebraic cohomology classes,? Lect. Notes. Amer. Math. Soc. and Summer Inst. Algebr. Geometry, Woods Hole, Mass. 1964. S. 1., s. a., 1?25;
[446] J. Tate, ?The cohomology groups of tori in finite galois extensions of number fields,? Nagoya Math. J., 27(2):709?719 (1966). · Zbl 0146.06501 · doi:10.1017/S0027763000026490
[447] J. Tate, ?Endomorphisms of Abelian varieties over finite fields,? Invent. Math., 2(2):134?144 (1966). · Zbl 0147.20303 · doi:10.1007/BF01404549
[448] J. Tate, ?Multiplication complexe formelle dans les corps locaux,? Colloq. internat. Centre nat. rech. scient., No. 143, 257?258 (1966).
[449] J. Tate, ?p-divisible groups,? Proc. Conf. Local Fields, Driebergen, 1966. Berlin-Heidelberg-New York (1967), pp. 158?183.
[450] J. Tate, ?On the conjecture of Birch and Swinnerton-Dyer and a geometric analog,? Dix exposés cohomol. schémas. Amsterdam-Paris (1968), pp. 189?214.
[451] G. Terjanian, ?Un contre-exemple a une conjecture d’Artin,? C. r. Acad. sci., AB262(11):A612 (1966). · Zbl 0133.29705
[452] G. Terjanian, ?Progrés récents dans 1’étude de la propriéte Ci des corps,? Sémin. Delange-Pisot-Poitou. Fac. sci. Paris, 1966?1967, 8(2):13/01?13/07 (1968).
[453] A. I. Thaler, ?A multiple-variable deformation theory for the zeta-function of a non-singular hypersurface,? Doct. diss. Johns Hopkins Univ. (1966), p. 57. Dissert. Abstrs. B29(8):2997 (1969).
[454] U. Tiemmeier, ?Unverzweigte galoissche p-Erweiterungen algebraischer Funktonenkorper mit endlichem Konstantenkorper,? Arch. Math., 20(6):590?596 (1969). · Zbl 0237.12006 · doi:10.1007/BF01899059
[455] C. Traverso, ?Sulla classificazione dei gruppi analitici commutativi di caratteristica positiva,? Ann. Scuola norm. super. Pisa Sci. fis. e mat., 23(3):481?507 (1969). · Zbl 0214.48301
[456] K. Uchida, ?On Tate’s duality theorems in Galois cohomology,? Tohoku Math. J., 21(1):92?101 (1969). · Zbl 0184.07704 · doi:10.2748/tmj/1178243037
[457] J. L. Verdier, ?The Lefschetz fixed point formula in etale cohomology,? Proc. Conf. Local Fields, Driebergen, 1966. Berlin-Heidelberg-New York (1967), pp. 199?214.
[458] W. Waterhouse, ?A classification of almost full formal groups,? Proc. Amer. Math. Soc., 20(2):426?428 (1969). · Zbl 0176.30303 · doi:10.1090/S0002-9939-1969-0236189-X
[459] W. Waterhouse, ?Abelian varieties over finite fields,? Ann. sci. Ecole norm, supér, 1969, 2(4):521?560 (1970).
[460] A. Weil, ?Sur la théorie des formes quadratiques,? Colloq. théor. groupes algébr. Bruxelles, 1962. Louvain-Paris (1962), pp. 9?22.
[461] A. Weil, ?Sur la formule de Siegel dans théorie des groupes classiques,? Acta math., 113(1-2):1?87 (1965). · Zbl 0161.02304 · doi:10.1007/BF02391774
[462] A. Weil, ?Über die Bestimmung Dirichletscher Reihen durch Funktonalgleichungen,? Math. Ann., 168:149?156 (1967). · Zbl 0158.08601 · doi:10.1007/BF01361551
[463] A. Weil, ?Zeta-functions and Melin transforms,? Algebr. Geom. London (1969), pp. 409?426.
[464] A. Weil, ?On the analogue of the modular group in characteristic p,? Functional Analysis and Relat. Fields. Berlin et al. (1970), pp. 211?223.
[465] C. Weisman, ?On the connected identity component of the Adele-class group of an algebraic torus,? Proc. Amer. Math. Soc., 21(1):155?160 (1969). · Zbl 0263.20027
[466] T. Yamada, ?On the Jacobian varieties of Davenport-Hasse curves,? Proc. Japan Acad., 43(6):407?411 (1967). · Zbl 0174.24501 · doi:10.3792/pja/1195521556
[467] T. Yamada, ?On the Davenport-Hasse curves,? J. Math. Soc. Japan, 20(1?2):403?410 (1968). · Zbl 0165.36201 · doi:10.2969/jmsj/02010403
[468] H. Yanagihara, ?Reduction of group varieties and transformation spaces,? J. Sci. Hiroshima Univ. 1963, Ser. A, Div. 1, 27(1):35?49 (1963). · Zbl 0118.15703
[469] H. Yanagihara, ?Reduction of models over a discrete valuation ring,? J. Math. Kyoto Univ., 2(2):123?156 (1963). · Zbl 0129.12901 · doi:10.1215/kjm/1250524931
[470] H. Yanagihara, ?Corrections and supplement to the paper ?Reduction of models over a discrete valuation ring,?? J. Math. Kyoto Univ., 3(3):363?368 (1964). · doi:10.1215/kjm/1250524786
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.