Edit Profile Shafarevich, Igor’ Rostislavovich Compute Distance To: Compute Author ID: shafarevich.igor-rostislavovich Published as: Chafarevitch, I. R.; Schafarewitch, I. R.; Schafarewitsch, I. R.; Schafarewitsch, Igor R.; Shafarevic, I. R.; Shafarevich, I. R.; Shafarevich, Igor R.; Shafarevich, Igor Rostislavovich; Shafarevitch, I. R. External Links: MGP · Math-Net.Ru · Wikidata · GND · MacTutor Documents Indexed: 186 Publications since 1943, including 63 Books Biographic References: 15 Publications all top 5 Co-Authors 92 single-authored 29 Gamkrelidze, Revaz Valerianovich 23 Parshin, Alexei N. 19 Kostrikin, Alekseĭ Ivanovich 18 Rudakov, Alexei Nikolaevich 8 Iskovskikh, Vasiliĭ Alekseevich 8 Manin, Yuri Ivanovich 7 Piatetski-Shapiro, Ilya 5 Borevich, Zenon Ivanovich 5 Nikulin, Vyacheslav Valentinovich 4 Demushkin, S. P. 4 Kulikov, Viktor Stepanovich 3 Bogomolov, Fedor Alekseivich 3 Golod, Evgeniĭ Solomonovich 3 Moishezon, Boris G. 3 Novikov, Sergeĭ Petrovich 3 Orlov, Dmitri O. 3 Prokhorov, Yuriĭ Gennad’evich 3 Shokurov, Vyacheslav Vladimirovich 3 Tyurin, Andreĭ Nikolaevich 2 Arnol’d, Vladimir Igorevich 2 Demidov, Sergeĭ Sergeevich 2 Gabriel, Pierre 2 Gel’fand, Israil’ Moiseevich 2 Karatsuba, Anatoliĭ Alekseevich 2 Petrova, Svetlana Sergeevna 2 Pukhlikov, Aleksandr Valentinovich 2 Reid, Miles 2 Roiter, Andrei V. 2 Smirnova, Galina Sergeevna 2 Tikhomirov, Vladimir Mikhaĭlovich 2 Vasil’ev, Viktor Anatol’evich 2 Vladimirov, Vasiliĭ Sergeevich 2 Vostokov, Sergeĭ Vladimirovich 2 Zarkhin, Yuriĭ Gennad’evich 2 Zink, Thomas 1 Anosov, Dmitriĭ Viktorovich 1 Arkhipov, Gennadiĭ Ivanovich 1 Arslanov, Marat M. 1 Averbukh, B. G. 1 Blagodatskikh, Viktor Ivanovich 1 Bolibrukh, Andreĭ Andreevich 1 Catanese, Fabrizio M. E. 1 Cheltsov, Ivan Anatol’evich 1 Chubarikov, Vladimir Nikolaevich 1 Drinfeld, Vladimir Gershonovich 1 Dubrovin, Nikolaĭ Ivanovich 1 Filippov, Vladimir Mikhailovich 1 Fomenko, Anatoliĭ Timofeevich 1 Gonchar, Andreĭ Aleksandrovich 1 Gorchinskiĭ, Sergeĭ Olegovich 1 Il’in, Vladimir Aleksandrovich 1 Kaledin, Dmitry B. 1 Kharlamov, Viatcheslav M. 1 Klyachko, Alexander Anatol’evich 1 Kozlov, Valeriĭ Vasil’evich 1 Kryazhimskiĭ, Arkadiĭ Viktorovich 1 Kunyavskiĭ, Boris Èmmanuilovich 1 Latyshev, Viktor Nikolaevich 1 Mikhalëv, Aleksandr Vasil’evich 1 Nemirovskiĭ, Stefan Yur’evich 1 Nesterenko, Yuriĭ Valentinovich 1 Nikol’skiĭ, Sergeĭ Mikhaĭlovich 1 Osipov, Denis Vasil’evich 1 Oskolkov, Konstantin Ilyich 1 Popov, Vladimir Leonidovich 1 Prokhorov, Yuriĭ Vasil’evich 1 Przhiyalkovskiĭ, Viktor Vladimirovich 1 Remizov, Alexey O. 1 Rybnikov, Konstantin Alekseevich 1 Sergeev, Armen Glebovich 1 Shmel’kin, Al’fred L’vovich 1 Stepanov, Sergei Alexandrovich 1 Tate, John Torrence jun. 1 Teicher, Mina 1 Tikhomirov, Alexander Sergeevich 1 Tyurina, G. N. 1 Vaĭnberg, Yu. R. 1 Vandoulakis, Ioannis M. 1 Venkov, B. A. 1 Vinberg, Èrnest Borisovich 1 Zel’manov, Efim Isaakovich 1 Zheglov, Alexander B. 1 Zhizhchenko, Alexey B. all top 5 Serials 17 Russian Mathematical Surveys 15 Encyclopaedia of Mathematical Sciences 14 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 13 Translations. Series 2. American Mathematical Society 12 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya 7 Mathematics of the USSR. Izvestiya 6 Uspekhi Matematicheskikh Nauk [N. S.] 5 Doklady Akademii Nauk SSSR 4 Proceedings of the Steklov Institute of Mathematics 4 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 3 Soviet Mathematics. Doklady 3 Voprosy Istorii Estestvoznaniya i Tekhniki 3 Doklady Akademii Nauk SSSR. Novaya Seriya 2 Mathematical Notes 2 Matematicheskiĭ Sbornik. Novaya Seriya 2 Algebra i Analiz 2 Leningrad Mathematical Journal 2 Comptes Rendus (Doklady) de l’Académie des Sciences de l’URSS, Nouvelle Série 2 A Magyar Tudomanyos Akademia. Matematikai es Fizikai Tudomanyok Osztalyanak Közlemenyei 2 2 Universitext 1 Communications in Algebra 1 Matematicheskie Zametki 1 The Mathematical Intelligencer 1 Commentarii Mathematici Universitatis Sancti Pauli 1 Duke Mathematical Journal 1 Publications Mathématiques 1 Journal of Soviet Mathematics 1 Mathematische Annalen 1 Historia Mathematica 1 St. Petersburg Mathematical Journal 1 Izvestiya: Mathematics 1 Istoriko-Matematicheskie Issledovaniya. Vtoraya Seriya 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Grundlehren der Mathematischen Wissenschaften 1 Lectures on Mathematics and Physics. Mathematics. Tata Institute of Fundamental Research 1 Logik und Grundlagen der Mathematik 1 Lehrbücher und Monographien aus dem Gebiete der exakten Wissenschaften. Mathematische Reihe 1 Springer Collected Works in Mathematics all top 5 Fields 71 Algebraic geometry (14-XX) 41 Number theory (11-XX) 36 General and overarching topics; collections (00-XX) 32 History and biography (01-XX) 20 Group theory and generalizations (20-XX) 16 Several complex variables and analytic spaces (32-XX) 15 Nonassociative rings and algebras (17-XX) 14 Field theory and polynomials (12-XX) 14 Commutative algebra (13-XX) 13 Associative rings and algebras (16-XX) 6 Category theory; homological algebra (18-XX) 4 \(K\)-theory (19-XX) 4 Topological groups, Lie groups (22-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Geometry (51-XX) 2 Manifolds and cell complexes (57-XX) 2 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 117 Publications have been cited 2,177 times in 1,937 Documents Cited by ▼ Year ▼ Number theory. Translated by Newcomb Greenleaf. Zbl 0145.04902Borevich, Z. I.; Shafarevich, I. R. 303 1966 Basic algebraic geometry. 1: Varieties in projective space. Transl. from the Russian by Miles Reid. 2nd, rev. and exp. ed. Zbl 0797.14001Shafarevich, Igor R. 199 1994 Basic algebraic geometry. Translated from the Russian by K. A. Hirsch. 2nd ed. Zbl 0362.14001Shafarevich, I. R. 197 1977 Basic algebraic geometry. Translated from the Russian by K. A. Hirsch. Zbl 0284.14001Shafarevich, I. R. 167 1974 On the class field tower. Zbl 0136.02602Golod, E. S.; Shafarevich, I. R. 105 1964 A Torelli theorem for algebraic surfaces of type K3. Zbl 0253.14006Pyatetskij-Shapiro, I. I.; Shafarevich, I. R. 76 1972 Algebra VIII: Representations of finite-dimensional algebras. Transl. from the Russian. Zbl 0839.16001Kostrikin, A. I. (ed.); Shafarevich, I. R. (ed.); Gamkrelidze, R. V. (ed.); Gabriel, P.; Roiter, A. V. 70 1992 Number theory. Zbl 0121.04202Borevich, Z. I.; Shafarevich, I. R. 65 1964 Basic algebraic geometry 1. Varieties in projective space. Translated from the Russian by Miles Reid. 3rd ed. Zbl 1273.14004Shafarevich, Igor R. 55 2013 Der Satz von Torelli für algebraische Flächen vom Typ K3. Zbl 0219.14021Pyatetskij-Shapiro, I. I.; Shafarevich, I. R. 43 1971 Graded Lie algebras of finite characteristic. Zbl 0211.05304Kostrikin, A. I.; Shafarevich, I. R. 43 1970 Lectures on minimal models and birational transformations of two dimensional schemes. Zbl 0164.51704Shafarevich, I. R. 39 1966 Foundations of algebraic geometry. Zbl 0204.21301Shafarevich, I. R. 37 1969 Algebraic surfaces. Zbl 0154.21001Shafarevich, I. R.; Averbukh, B. G.; Vaĭnberg, J. R.; Zhizhchenko, A. B.; Manin, Yu. I.; Moĭshezon, B. G.; Tyurina, G. N.; Tyurin, A. N. 36 1965 Number theory. Zbl 0145.04901Borevich, Z. I.; Chafarevitch, I. R. 30 1967 Basic algebraic geometry. (Osnovy algebraicheskoj geometrii.) Vol. 1: Algebraic manifolds in projective space. (Tom 1: Algebraicheskie mnogoobraziya v proektivnom prostranstve). Vol. 2: Schemes. Complex manifolds. (Tom 2: Skhemy. Kompleksnye mnogoobraziya). 2nd ed., rev. and compl. Zbl 0675.14001Shafarevich, I. R. 29 1988 Number theory. (Teoriya chisel). 3rd compl. ed. Zbl 0592.12001Borevich, Z. I.; Shafarevich, I. R. 29 1985 Surfaces of type K3 over fields of finite characteristic. Zbl 0518.14015Rudakov, A. N.; Shafarevich, I. R. 29 1981 Basic algebraic geometry. 2: Schemes amd complex manifolds. Transl. from the Russian by Miles Reid. 2nd, rev. and exp. ed. Zbl 0797.14002Shafarevich, Igor R. 28 1994 Inseparable morphisms of algebraic surfaces. Zbl 0379.14006Rudakov, A. N.; Shafarevich, I. R. 28 1978 Construction of algebraic number fields with given solvable Galois group. Zbl 0057.27401Shafarevich, I. R. 27 1954 On some infinite dimensional groups. Zbl 0149.39003Shafarevich, I. R. 22 1966 A general reciprocity law. Zbl 0036.15901Shafarevich, I. R. 22 1950 On some infinite-dimensional groups. II. Zbl 0475.14036Shafarevich, I. R. 21 1981 On some infinite-dimensional groups. II. Zbl 0491.14025Shafarevich, I. R. 20 1982 Supersingular \(K3\) surfaces over fields of characteristic 2. Zbl 0424.14008Rudakov, A. N.; Shafarevich, I. R. 17 1979 Irreducible representations of a simple three-dimensional Lie algebra over a field of finite characteristic. Zbl 0184.06002Rudakov, A. N.; Shafarevich, I. R. 17 1967 The rank of elliptic curves. Zbl 0168.42201Tate, J. T.; Shafarevich, I. R. 17 1967 Extensions with given points of ramification. Zbl 0199.09707Shafarevich, I. R. 17 1964 Basic algebraic geometry. 2: Schemes and complex manifolds. Transl. from the Russian by Miles Reid. 3rd ed. Zbl 1277.14002Shafarevich, Igor R. 16 2013 On class field towers. Zbl 0148.28101Golod, E. S.; Shafarevich, I. R. 15 1965 Cartan pseudogroups and Lie \(p\)-algebras. Zbl 0158.03803Kostrikin, A. I.; Shafarevich, I. R. 14 1966 On \(p\)-extensions. Zbl 0041.17101Shafarevich, I. R. 13 1947 Principal homogeneous spaces defined over a function field. Zbl 0142.18401Shafarevich, I. R. 12 1964 On \(p\)-extensions. Zbl 0071.03302Shafarevich, I. R. 10 1956 Linear algebra and geometry. Translated from the Russian by David Kramer and Lena Nekludova. Zbl 1256.15001Shafarevich, Igor R.; Remizov, Alexey O. 9 2013 The imbedding problem for splitting extensions. Zbl 0085.02602Shafarevich, I. R. 9 1958 The homology groups of nilpotent algebras. Zbl 0083.03003Kostrikin, A. I.; Shafarevich, I. R. 9 1957 Algebra I. Basic notions of algebra. Transl. from the Russian by M. Reid. Zbl 0711.16001Shafarevich, I. R. 8 1990 Basic algebraic geometry. 2: Schemes amd complex manifolds. 2nd ed., rev. and compl. Zbl 1082.14501Shafarevich, I. R. 8 1988 Basic algebraic geometry. 1: Varieties in projective space. 2nd ed., rev. and compl. Zbl 1082.14500Shafarevich, I. R. 8 1988 Supersinguläre Flächen des Typs K3 über Körpern der Charakteristik 2. Zbl 0404.14010Rudakov, A. N.; Shafarevich, I. R. 8 1978 Extensions with given points of ramification. Zbl 0118.27505Shafarevich, I. R. 8 1963 Principal homogeneous spaces defined over a function field. Zbl 0129.12804Shafarevich, I. R. 8 1961 Construction of fields of algebraic numbers with given solvable Galois group. Zbl 0071.03307Shafarevich, I. R. 8 1956 On the normalizability of topological fields. Zbl 0063.06924Shafarevich, I. R. 8 1943 Basic notions of algebra. Transl. from the Russian by M. Reid. 2nd printing of the 1st ed. 1990. Zbl 0860.16001Shafarevich, I. R. 7 1997 Algebraic surfaces. Zbl 0733.14015Iskovskikh, V. A.; Shafarevich, I. R. 7 1989 Basic notions of algebra. Zbl 0655.00002Shafarevich, I. R. 7 1986 The embedding problem for local fields. Zbl 0093.04404Demushkin, S. P.; Shafarevich, I. R. 7 1959 Classification, fundamental groups and universal covering spaces of algebraic varieties. Zbl 0921.14007Shafarevic, I. R. 6 1997 Deformations of commutative algebras of class 2. Zbl 0743.13009Shafarevich, I. R. 6 1990 Geometries and groups. Transl. from the Russian by M. Reid. Zbl 0621.51001Nikulin, V. V.; Shafarevich, I. R. 6 1987 Exponents of elliptic curves. Zbl 0081.15401Shafarevich, I. R. 6 1957 On the problem of imbedding fields. Zbl 0071.03306Shafarevich, I. R. 6 1956 Algebraic geometry V: Fano varieties. Transl. from the Russian by Yu. G. Prokhorov and S. Tregub. Zbl 0903.00014Parshin, A. N. (ed.); Shafarevich, I. R. (ed.); Gamkrelidze, R. V. (ed.) 5 1999 On the arithmetic of singular \(K3\)-surfaces. Zbl 0947.14020Shafarevich, I. R. 5 1996 Number theory II: Algebraic number theory. Transl. from the Russian. Zbl 0814.00007Parshin, A. N. (ed.); Shafarevich, I. R. (ed.); Gamkrelidze, R. V. (ed.) 5 1992 Abelian and nonabelian mathematics. Zbl 0733.11043Shafarevich, I. R. 5 1991 Algebraic surfaces. Zbl 0832.14026Iskovskikh, V. A.; Shafarevich, I. R. 5 1989 Geometries and groups. (Geometrii i gruppy). Zbl 0528.51001Nikulin, V. V.; Shafarevich, I. R. 5 1983 Algebraic number field. Zbl 0133.29303Shafarevich, I. R. 5 1963 On the construction of fields with a given Galois group of order \(l^a\). Zbl 0071.03304Shafarevich, I. R. 5 1956 A general reciprocity law. Zbl 0071.03303Shafarevich, I. R. 5 1956 Lüroth’s problem. Zbl 0731.14035Shafarevich, I. R. 4 1991 Deformations of commutative algebras of class 2. Zbl 0727.13006Shafarevich, I. R. 4 1990 On factors of a decreasing central series. Zbl 0681.20024Shafarevich, I. R. 4 1989 The influence of height on degenerations of algebraic surfaces of type K3. Zbl 0509.14036Rudakov, A. N.; Zink, T.; Shafarevich, I. R. 4 1983 Quasi-elliptic surfaces of type K3. Zbl 0404.14012Rudakov, A. N.; Shafarevich, I. R. 4 1978 Le théorème de Torelli pour les surfaces algébriques de type K3. Zbl 0236.14016Shafarevitch, I. R. 4 1971 Algebraische Flächen Von einem Autorenkollektiv. Übersetzung nach dem russischen Originalmanuskript von Gustav Burosch. Zbl 0154.21002Shafarevich, I. R. 4 1968 On the problem of imbedding fields. Zbl 0057.03303Shafarevich, I. R. 4 1954 Neuer Beweis des Kronecker-Weberschen Satzes. Zbl 0053.35501Shafarevich, I. R. 4 1951 Algebraic geometry II. Cohomology of algebraic varieties. Algebraic surfaces. Transl. from the Russian by R. Treger. Zbl 0830.00008Shafarevich, I. R. (ed.); Gamkrelidze, R. V. (ed.) 3 1996 Algebraic geometry IV: linear algebraic groups, invariant theory. Transl. from the Russian by G.A. Kandall. Zbl 0788.00015Parshin, A. N. (ed.); Shafarevich, I. R. (ed.); Gamkrelidze, R. V. (ed.) 3 1994 Collected mathematical papers. Zbl 0669.12001Shafarevich, Igor R. 3 1989 Zum 150. Geburtstag von Alfred Clebsch. Zbl 0519.01013Shafarevich, Igor Rostislavovich 3 1983 Number theory. Zbl 0134.27303Borewicz, Senon I.; Shafarevich, Igor R. 3 1966 The group of principal homogeneous algebraic manifolds. Zbl 0115.38903Shafarevich, I. R. 3 1959 Birational equivalence of elliptic curves. Zbl 0081.15304Shafarevich, I. R. 3 1957 On the construction of fields with a given Galois group of order \(\ell^\alpha\). Zbl 0056.03304Shafarevich, I. R. 3 1954 On Galois groups of \(y\)-adic fields. Zbl 0063.06925Shafarevich, I. R. 3 1946 On the problem of the 10th discriminant. Zbl 1360.11119Shafarevich, I. R. 2 2014 Basic notions of algebra. Translated from the 1986 Russian original by Miles Reid. Reprint of the 1997 English translation. Zbl 1074.16501Shafarevich, Igor R. 2 2005 On the group \(\text{GL}(2,K[t])\). Zbl 1112.14052Shafarevich, I. R. 2 2004 Degeneration of semisimple algebras. Zbl 1086.14508Shafarevich, I. R. 2 2001 Number theory IV: Transcendental numbers. Transl. from the Russian by N. Koblitz. Zbl 1155.00324Parshin, A. N. (ed.); Shafarevich, I. R. (ed.); Gamkrelidze, R. V. (ed.) 2 1998 Families of reducible algebraic varieties. Zbl 0938.14026Shafarevich, I. R. 2 1996 Algebraic geometry I: algebraic curves, algebraic manifolds and schemes. Transl. from the Russian by D. Coray and V. N. Shokurov. Zbl 0787.00008Shafarevich, I. R. (ed.); Gamkrelidze, R. V. (ed.) 2 1994 Algebra - 6. Zbl 0698.00022Gamkrelidze, R. V. (ed.); Kostrikin, A. I. (ed.); Shafarevich, I. R. (ed.) 2 1990 Basic notions of algebra. (Noţiunile fundamentale ale algebrei). Transl. from the Russian. Zbl 0674.12001Shafarevich, I. R. 2 1989 Algebraic geometry - 1. Zbl 0657.00008Shafarevich, I. R. (ed.); Gamkrelidze, R. V. (ed.) 2 1988 Algebra - 2. Zbl 0639.00007Kostrikin, A. I. (ed.); Shafarevich, I. R. (ed.); Gamkrelidze, R. V. (ed.) 2 1988 On the degeneration of K3 surfaces over fields of finite characteristic. Zbl 0489.14015Rudakov, A. N.; Shafarevich, I. R. 2 1982 Nicht-separable Morphismen algebraischer Flächen. Zbl 0365.14008Rudakov, A. N.; Shafarevich, I. R. 2 1976 Grundzüge der algebraischen Geometrie. Übersetzung und wissenschaftliche Redaktion: Rudolf Fragel. Zbl 0318.14001Schafarewitsch, I. R. 2 1972 Grundlagen der algebraischen Geometrie. (Osnovy algebraiceskoi geometrii.). Zbl 0258.14001Shafarevich, I. R. 2 1972 The imbedding problem for local fields. Zbl 0127.26501Demuskin, S.; Shafarevich, I. R. 2 1963 The second obstruction for the imbedding problem of algebraic number fields. Zbl 0199.09802Demushkin, S. P.; Shafarevich, I. R. 2 1962 Collected mathematical papers. Reprint of the 1989 hardback edition. Zbl 1326.01074Shafarevich, Igor R. 1 2015 Collected mathematical papers. Reprint of the 1989 hardback edition. Zbl 1326.01074Shafarevich, Igor R. 1 2015 On the problem of the 10th discriminant. Zbl 1360.11119Shafarevich, I. R. 2 2014 Basic algebraic geometry 1. Varieties in projective space. Translated from the Russian by Miles Reid. 3rd ed. Zbl 1273.14004Shafarevich, Igor R. 55 2013 Basic algebraic geometry. 2: Schemes and complex manifolds. Transl. from the Russian by Miles Reid. 3rd ed. Zbl 1277.14002Shafarevich, Igor R. 16 2013 Linear algebra and geometry. Translated from the Russian by David Kramer and Lena Nekludova. Zbl 1256.15001Shafarevich, Igor R.; Remizov, Alexey O. 9 2013 Basic notions of algebra. Translated from the 1986 Russian original by Miles Reid. Reprint of the 1997 English translation. Zbl 1074.16501Shafarevich, Igor R. 2 2005 On the group \(\text{GL}(2,K[t])\). Zbl 1112.14052Shafarevich, I. R. 2 2004 Isabella Grigoryevna Bashmakova on the eightieth anniversary of her birth. Zbl 1011.01011Demidov, Sergey S.; Parshin, Alexei N.; Shafarevich, Igor R.; Petrova, Svetlana S.; Smirnova, Galina S.; Tikhomirov, Vladimir M.; Vandoulakis, Ioannis M. 1 2002 Degeneration of semisimple algebras. Zbl 1086.14508Shafarevich, I. R. 2 2001 Aleksei Ivanovich Kostrikin (obituary). Zbl 1017.01516Vinberg, È. B.; Golod, E. S.; Zel’manov, E. I.; Iskovskikh, V. A.; Latyshev, V. N.; Manin, Yu. I.; Mikhalev, A. V.; Parshin, A. N.; Shafarevich, I. R.; Shmel’kin, A. L. 1 2001 Remembrances of V. A. Rokhlin. Zbl 0990.01513Shafarevich, I. R. 1 2001 Algebraic geometry V: Fano varieties. Transl. from the Russian by Yu. G. Prokhorov and S. Tregub. Zbl 0903.00014Parshin, A. N. (ed.); Shafarevich, I. R. (ed.); Gamkrelidze, R. V. (ed.) 5 1999 Basic notions of algebra. Zbl 1074.16500Shafarevich, I. R. 1 1999 Number theory IV: Transcendental numbers. Transl. from the Russian by N. Koblitz. Zbl 1155.00324Parshin, A. N. (ed.); Shafarevich, I. R. (ed.); Gamkrelidze, R. V. (ed.) 2 1998 Basic notions of algebra. Transl. from the Russian by M. Reid. 2nd printing of the 1st ed. 1990. Zbl 0860.16001Shafarevich, I. R. 7 1997 Classification, fundamental groups and universal covering spaces of algebraic varieties. Zbl 0921.14007Shafarevic, I. R. 6 1997 On the arithmetic of singular \(K3\)-surfaces. Zbl 0947.14020Shafarevich, I. R. 5 1996 Algebraic geometry II. Cohomology of algebraic varieties. Algebraic surfaces. Transl. from the Russian by R. Treger. Zbl 0830.00008Shafarevich, I. R. (ed.); Gamkrelidze, R. V. (ed.) 3 1996 Families of reducible algebraic varieties. Zbl 0938.14026Shafarevich, I. R. 2 1996 Some families of Abelian surfaces. Zbl 0909.14026Shafarevich, I. R. 1 1996 Algebra VI. Combinatorial and asymptotic methods of algebra. Non- associative structures. Transl. from the Russian by R. M. Dimitrić. Zbl 0826.00010Gamkrelidze, R. V. (ed.); Kostrikin, A. I. (ed.); Shafarevich, I. R. (ed.) 1 1995 Basic algebraic geometry. 1: Varieties in projective space. Transl. from the Russian by Miles Reid. 2nd, rev. and exp. ed. Zbl 0797.14001Shafarevich, Igor R. 199 1994 Basic algebraic geometry. 2: Schemes amd complex manifolds. Transl. from the Russian by Miles Reid. 2nd, rev. and exp. ed. Zbl 0797.14002Shafarevich, Igor R. 28 1994 Algebraic geometry IV: linear algebraic groups, invariant theory. Transl. from the Russian by G.A. Kandall. Zbl 0788.00015Parshin, A. N. (ed.); Shafarevich, I. R. (ed.); Gamkrelidze, R. V. (ed.) 3 1994 Algebraic geometry I: algebraic curves, algebraic manifolds and schemes. Transl. from the Russian by D. Coray and V. N. Shokurov. Zbl 0787.00008Shafarevich, I. R. (ed.); Gamkrelidze, R. V. (ed.) 2 1994 Algebra VIII: Representations of finite-dimensional algebras. Transl. from the Russian. Zbl 0839.16001Kostrikin, A. I. (ed.); Shafarevich, I. R. (ed.); Gamkrelidze, R. V. (ed.); Gabriel, P.; Roiter, A. V. 70 1992 Number theory II: Algebraic number theory. Transl. from the Russian. Zbl 0814.00007Parshin, A. N. (ed.); Shafarevich, I. R. (ed.); Gamkrelidze, R. V. (ed.) 5 1992 Abelian and nonabelian mathematics. Zbl 0733.11043Shafarevich, I. R. 5 1991 Lüroth’s problem. Zbl 0731.14035Shafarevich, I. R. 4 1991 Algebra II: Noncommutative rings. Identities. Transl. from the Russian by E. Behr. Zbl 0724.00012Kostrikin, A. I. (ed.); Shafarevich, I. R. (ed.); Gamkrelidze, R. V. (ed.) 1 1991 Algebra I. Basic notions of algebra. Transl. from the Russian by M. Reid. Zbl 0711.16001Shafarevich, I. R. 8 1990 Deformations of commutative algebras of class 2. Zbl 0743.13009Shafarevich, I. R. 6 1990 Deformations of commutative algebras of class 2. Zbl 0727.13006Shafarevich, I. R. 4 1990 Algebra - 6. Zbl 0698.00022Gamkrelidze, R. V. (ed.); Kostrikin, A. I. (ed.); Shafarevich, I. R. (ed.) 2 1990 Algebraic surfaces. Zbl 0733.14015Iskovskikh, V. A.; Shafarevich, I. R. 7 1989 Algebraic surfaces. Zbl 0832.14026Iskovskikh, V. A.; Shafarevich, I. R. 5 1989 On factors of a decreasing central series. Zbl 0681.20024Shafarevich, I. R. 4 1989 Collected mathematical papers. Zbl 0669.12001Shafarevich, Igor R. 3 1989 Basic notions of algebra. (Noţiunile fundamentale ale algebrei). Transl. from the Russian. Zbl 0674.12001Shafarevich, I. R. 2 1989 Basic algebraic geometry. (Osnovy algebraicheskoj geometrii.) Vol. 1: Algebraic manifolds in projective space. (Tom 1: Algebraicheskie mnogoobraziya v proektivnom prostranstve). Vol. 2: Schemes. Complex manifolds. (Tom 2: Skhemy. Kompleksnye mnogoobraziya). 2nd ed., rev. and compl. Zbl 0675.14001Shafarevich, I. R. 29 1988 Basic algebraic geometry. 2: Schemes amd complex manifolds. 2nd ed., rev. and compl. Zbl 1082.14501Shafarevich, I. R. 8 1988 Basic algebraic geometry. 1: Varieties in projective space. 2nd ed., rev. and compl. Zbl 1082.14500Shafarevich, I. R. 8 1988 Algebraic geometry - 1. Zbl 0657.00008Shafarevich, I. R. (ed.); Gamkrelidze, R. V. (ed.) 2 1988 Algebra - 2. Zbl 0639.00007Kostrikin, A. I. (ed.); Shafarevich, I. R. (ed.); Gamkrelidze, R. V. (ed.) 2 1988 Geometries and groups. Transl. from the Russian by M. Reid. Zbl 0621.51001Nikulin, V. V.; Shafarevich, I. R. 6 1987 Basic notions of algebra. Zbl 0655.00002Shafarevich, I. R. 7 1986 The arithmetic of algebraic varieties (in the algebra section of the Steklov mathematical institute of the academy of sciences). Zbl 0605.14001Parshin, A. N.; Shafarevich, I. R. 1 1986 On degeneration of K3 surfaces. Zbl 0592.14035Rudakov, A. N.; Shafarevich, I. R. 1 1986 Number theory. (Teoriya chisel). 3rd compl. ed. Zbl 0592.12001Borevich, Z. I.; Shafarevich, I. R. 29 1985 Geometries and groups. (Geometrii i gruppy). Zbl 0528.51001Nikulin, V. V.; Shafarevich, I. R. 5 1983 The influence of height on degenerations of algebraic surfaces of type K3. Zbl 0509.14036Rudakov, A. N.; Zink, T.; Shafarevich, I. R. 4 1983 Zum 150. Geburtstag von Alfred Clebsch. Zbl 0519.01013Shafarevich, Igor Rostislavovich 3 1983 On some infinite-dimensional groups. II. Zbl 0491.14025Shafarevich, I. R. 20 1982 On the degeneration of K3 surfaces over fields of finite characteristic. Zbl 0489.14015Rudakov, A. N.; Shafarevich, I. R. 2 1982 Surfaces of type K3 over fields of finite characteristic. Zbl 0518.14015Rudakov, A. N.; Shafarevich, I. R. 29 1981 On some infinite-dimensional groups. II. Zbl 0475.14036Shafarevich, I. R. 21 1981 On the degeneration of surfaces of type K3. Zbl 0524.14031Rudakov, A. N.; Shafarevich, I. R. 1 1981 Supersingular \(K3\) surfaces over fields of characteristic 2. Zbl 0424.14008Rudakov, A. N.; Shafarevich, I. R. 17 1979 Inseparable morphisms of algebraic surfaces. Zbl 0379.14006Rudakov, A. N.; Shafarevich, I. R. 28 1978 Supersinguläre Flächen des Typs K3 über Körpern der Charakteristik 2. Zbl 0404.14010Rudakov, A. N.; Shafarevich, I. R. 8 1978 Quasi-elliptic surfaces of type K3. Zbl 0404.14012Rudakov, A. N.; Shafarevich, I. R. 4 1978 Vector fields on elliptic surfaces. Zbl 0424.14010Rudakov, A. N.; Shafarevich, I. R. 1 1978 Vector fields on elliptic surfaces. Zbl 0411.14008Rudakov, A. N.; Shafarevich, I. R. 1 1978 Quasielliptische Flächen vom Typ K3. Zbl 0383.14013Rudakov, A. N.; Shafarevich, I. R. 1 1978 Basic algebraic geometry. Translated from the Russian by K. A. Hirsch. 2nd ed. Zbl 0362.14001Shafarevich, I. R. 197 1977 Nicht-separable Morphismen algebraischer Flächen. Zbl 0365.14008Rudakov, A. N.; Shafarevich, I. R. 2 1976 Basic algebraic geometry. Translated from the Russian by K. A. Hirsch. Zbl 0284.14001Shafarevich, I. R. 167 1974 Arithmetic of \(K3\) surfaces. Zbl 0293.14010Piatetski-Shapiro, Ilya I.; Shafarevich, I. R. 1 1973 A Torelli theorem for algebraic surfaces of type K3. Zbl 0253.14006Pyatetskij-Shapiro, I. I.; Shafarevich, I. R. 76 1972 Grundzüge der algebraischen Geometrie. Übersetzung und wissenschaftliche Redaktion: Rudolf Fragel. Zbl 0318.14001Schafarewitsch, I. R. 2 1972 Grundlagen der algebraischen Geometrie. (Osnovy algebraiceskoi geometrii.). Zbl 0258.14001Shafarevich, I. R. 2 1972 Grundzüge der algebraischen Geometrie. Übersetzung aus dem Russischen von Rudolf Fragel. Zbl 0248.14001Schafarewitsch, Igor R. 1 1972 Der Satz von Torelli für algebraische Flächen vom Typ K3. Zbl 0219.14021Pyatetskij-Shapiro, I. I.; Shafarevich, I. R. 43 1971 Le théorème de Torelli pour les surfaces algébriques de type K3. Zbl 0236.14016Shafarevitch, I. R. 4 1971 Graded Lie algebras of finite characteristic. Zbl 0211.05304Kostrikin, A. I.; Shafarevich, I. R. 43 1970 Foundations of algebraic geometry. Zbl 0204.21301Shafarevich, I. R. 37 1969 Algebraische Flächen Von einem Autorenkollektiv. Übersetzung nach dem russischen Originalmanuskript von Gustav Burosch. Zbl 0154.21002Shafarevich, I. R. 4 1968 Number theory. Zbl 0145.04901Borevich, Z. I.; Chafarevitch, I. R. 30 1967 Irreducible representations of a simple three-dimensional Lie algebra over a field of finite characteristic. Zbl 0184.06002Rudakov, A. N.; Shafarevich, I. R. 17 1967 The rank of elliptic curves. Zbl 0168.42201Tate, J. T.; Shafarevich, I. R. 17 1967 Number theory. Translated by Newcomb Greenleaf. Zbl 0145.04902Borevich, Z. I.; Shafarevich, I. R. 303 1966 Lectures on minimal models and birational transformations of two dimensional schemes. Zbl 0164.51704Shafarevich, I. R. 39 1966 On some infinite dimensional groups. Zbl 0149.39003Shafarevich, I. R. 22 1966 Cartan pseudogroups and Lie \(p\)-algebras. Zbl 0158.03803Kostrikin, A. I.; Shafarevich, I. R. 14 1966 Number theory. Zbl 0134.27303Borewicz, Senon I.; Shafarevich, Igor R. 3 1966 Algebraic surfaces. Zbl 0154.21001Shafarevich, I. R.; Averbukh, B. G.; Vaĭnberg, J. R.; Zhizhchenko, A. B.; Manin, Yu. I.; Moĭshezon, B. G.; Tyurina, G. N.; Tyurin, A. N. 36 1965 On class field towers. Zbl 0148.28101Golod, E. S.; Shafarevich, I. R. 15 1965 On the class field tower. Zbl 0136.02602Golod, E. S.; Shafarevich, I. R. 105 1964 Number theory. Zbl 0121.04202Borevich, Z. I.; Shafarevich, I. R. 65 1964 Extensions with given points of ramification. Zbl 0199.09707Shafarevich, I. R. 17 1964 Principal homogeneous spaces defined over a function field. Zbl 0142.18401Shafarevich, I. R. 12 1964 The main trends of algebraic topology and algebraic geometry. Zbl 0168.43903Novikov, S. P.; Pyatetskij-Shapiro, I. I.; Shafarevich, I. R. 1 1964 Extensions with given points of ramification. Zbl 0118.27505Shafarevich, I. R. 8 1963 Algebraic number field. Zbl 0133.29303Shafarevich, I. R. 5 1963 The imbedding problem for local fields. Zbl 0127.26501Demuskin, S.; Shafarevich, I. R. 2 1963 The second obstruction for the imbedding problem of algebraic number fields. Zbl 0199.09802Demushkin, S. P.; Shafarevich, I. R. 2 1962 Principal homogeneous spaces defined over a function field. Zbl 0129.12804Shafarevich, I. R. 8 1961 The embedding problem for local fields. Zbl 0093.04404Demushkin, S. P.; Shafarevich, I. R. 7 1959 The group of principal homogeneous algebraic manifolds. Zbl 0115.38903Shafarevich, I. R. 3 1959 The imbedding problem for splitting extensions. Zbl 0085.02602Shafarevich, I. R. 9 1958 ...and 17 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,239 Authors 16 Sendra, Juan Rafael 14 Vostokov, Sergeĭ Vladimirovich 13 Kondō, Shigeyuki 13 Walcher, Sebastian 11 Safey El Din, Mohab 11 Shimada, Ichiro 11 Zarkhin, Yuriĭ Gennad’evich 11 Zhang, Yongzheng 10 Heintz, Joos 10 Katsura, Toshiyuki 10 Matera, Guillermo 9 Nikulin, Vyacheslav Valentinovich 9 Schmidt, Bernhard 9 Simson, Daniel 8 Kollár, János 8 Llibre, Jaume 8 Popov, Vladimir Leonidovich 7 Bürgisser, Peter 7 Furter, Jean-Philippe 7 Grigor’ev, Dmitriĭ Yur’evich 7 Jarden, Moshe 7 Kanel’-Belov, Alekseĭ Yakovlevich 7 Pérez-Díaz, Sonia 7 Skula, Ladislav 7 Smoktunowicz, Agata 7 Sturmfels, Bernd 6 Dolgachev, Igor’ Vladimirovich 6 Friedland, Shmuel 6 Gurak, Stanley J. 6 Horikawa, Eiji 6 Kumar, Shrawan 6 Lawton, Sean 6 Lur’e, B. B. 6 Mináč, Ján 6 Myasnikov, Alexei G. 6 Pardo, Luis Miguel 6 Premet, Alexander A. 6 Shafarevich, Igor’ Rostislavovich 6 Shu, Bin 6 Vorob’ëv, Nikolaĭ N. jun. 5 Boston, Nigel 5 Bruno, Alexander Dmitrievich 5 Coutinho, S. C. 5 Deng, Bangming 5 Herschend, Martin 5 Hulek, Klaus 5 Ishkhanov, V. V. 5 Iyudu, Natalia K. 5 Jeronimo, Gabriela 5 Kang, Ming-Chang 5 Leung, Ka Hin 5 Liedtke, Christian 5 Liu, Wende 5 Nguyêñ Duy Tân 5 Schicho, Josef 5 Shioda, Tetsuji 5 Sonn, Jack 5 Strade, Helmut 4 Artebani, Michela 4 Bank, Bernd 4 Bell, Jason P. 4 Couvreur, Alain 4 Đoković, Dragomir Ž. 4 Giusti, Marc 4 Goeke, Alexandra 4 Hajir, Farshid 4 Hiramine, Yutaka 4 Lang, William E. 4 Madunts, Aleksandra Igor’evna 4 Maire, Christian 4 Markšaitis, Hamletas 4 Mu, Qiang 4 Naldi, Simone 4 Oort, Frans 4 Parshin, Alexei N. 4 Poulakis, Dimitrios 4 Privitelli, Melina 4 Putcha, Mohan S. 4 Reichstein, Zinovy B. 4 Remeslennikov, Vladimir Nikanorovich 4 Russell, Peter K. 4 Sarti, Alessandra 4 Schütt, Matthias 4 Sergeichuk, Vladimir Vasil’evich 4 Shkarin, Stanislav A. 4 Skryabin, Serge 4 Solernó, Pablo 4 Taki, Shingo 4 Valls Anglés, Cláudia 4 Wilson, Robert Lee 4 Yu, Jie-Tai 3 Bainbridge, Matt 3 Barreira, Luis Manuel 3 Bautista, Raymundo 3 Benjamin, Elliot 3 Berend, Daniel 3 Billig, Yuly 3 Blass, Piotr 3 Bochnak, Jacek 3 Bogomolov, Fedor Alekseivich ...and 2,139 more Authors all top 5 Cited in 306 Serials 158 Journal of Algebra 115 Journal of Number Theory 78 Journal of Pure and Applied Algebra 61 Mathematische Annalen 56 Transactions of the American Mathematical Society 53 Inventiones Mathematicae 49 Mathematical Notes 47 Journal of Mathematical Sciences (New York) 45 Journal of Symbolic Computation 43 Advances in Mathematics 43 Compositio Mathematica 39 Linear Algebra and its Applications 31 Communications in Algebra 30 Proceedings of the American Mathematical Society 29 Manuscripta Mathematica 28 Mathematische Zeitschrift 25 Mathematics of Computation 23 Duke Mathematical Journal 21 Journal of Soviet Mathematics 20 Journal de Théorie des Nombres de Bordeaux 19 Siberian Mathematical Journal 17 Annales de l’Institut Fourier 16 Israel Journal of Mathematics 16 Bulletin of the American Mathematical Society. New Series 15 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 15 Functional Analysis and its Applications 15 Finite Fields and their Applications 12 Journal of Combinatorial Theory. Series A 12 Proceedings of the Japan Academy. Series A 11 Rocky Mountain Journal of Mathematics 11 Algebra and Logic 11 Archiv der Mathematik 11 Computer Aided Geometric Design 11 Proceedings of the Steklov Institute of Mathematics 10 Tohoku Mathematical Journal. 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Serie IV 4 Nagoya Mathematical Journal 4 European Journal of Combinatorics 4 Combinatorica 4 Acta Mathematica Hungarica 4 Differential Geometry and its Applications ...and 206 more Serials all top 5 Cited in 62 Fields 745 Algebraic geometry (14-XX) 527 Number theory (11-XX) 188 Associative rings and algebras (16-XX) 179 Group theory and generalizations (20-XX) 146 Commutative algebra (13-XX) 144 Field theory and polynomials (12-XX) 133 Nonassociative rings and algebras (17-XX) 130 Several complex variables and analytic spaces (32-XX) 100 Linear and multilinear algebra; matrix theory (15-XX) 97 Computer science (68-XX) 72 Combinatorics (05-XX) 56 Dynamical systems and ergodic theory (37-XX) 53 Differential geometry (53-XX) 51 Numerical analysis (65-XX) 49 Manifolds and cell complexes (57-XX) 41 Mathematical logic and foundations (03-XX) 41 Topological groups, Lie groups (22-XX) 37 Convex and discrete geometry (52-XX) 35 Category theory; homological algebra (18-XX) 35 Ordinary differential equations (34-XX) 33 Information and communication theory, circuits (94-XX) 29 Quantum theory (81-XX) 28 Global analysis, analysis on manifolds (58-XX) 27 Functions of a complex variable (30-XX) 27 Geometry (51-XX) 21 Functional analysis (46-XX) 19 History and biography (01-XX) 19 Operator theory (47-XX) 19 Systems theory; control (93-XX) 18 Algebraic topology (55-XX) 15 Order, lattices, ordered algebraic structures (06-XX) 15 Mechanics of particles and systems (70-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 13 Partial differential equations (35-XX) 13 Statistical mechanics, structure of matter (82-XX) 12 General algebraic systems (08-XX) 12 \(K\)-theory (19-XX) 11 Real functions (26-XX) 10 Operations research, mathematical programming (90-XX) 9 Relativity and gravitational theory (83-XX) 9 Biology and other natural sciences (92-XX) 8 Special functions (33-XX) 8 Approximations and expansions (41-XX) 8 Mechanics of deformable solids (74-XX) 7 Measure and integration (28-XX) 7 Abstract harmonic analysis (43-XX) 5 Difference and functional equations (39-XX) 5 Probability theory and stochastic processes (60-XX) 5 Fluid mechanics (76-XX) 4 General and overarching topics; collections (00-XX) 4 Integral transforms, operational calculus (44-XX) 4 General topology (54-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Potential theory (31-XX) 2 Statistics (62-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Geophysics (86-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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