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Obituary: Robert F. Coleman 1954–2014. (English) Zbl 1338.01025

MSC:

01A70 Biographies, obituaries, personalia, bibliographies

Biographic References:

Coleman, Robert F.
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[1] Berkovich, V.G.: Integration of one-forms on \[p\] p-adic analytic spaces. In: Annals of Mathematics Studies, vol. 162. Princeton University Press, Princeton (2007) · Zbl 1161.14001
[2] Breuil, C.: Intégration sur les variétés \[p\] p-adiques (d’après Coleman, Colmez). Astérisque, (266): Exp. No. 860, vol. 5, pp. 319-350. Séminaire Bourbaki, vol. 1998/99 (2000) · Zbl 1015.11028
[3] Buium, A.: Geometry of \[p\] p-jets. Duke Math. J. 82(2), 349-367 (1996) · Zbl 0882.14007 · doi:10.1215/S0012-7094-96-08216-2
[4] Cherbonnier, F., Colmez, P.: Théorie d’Iwasawa des représentations \[p\] p-adiques d’un corps local. J. Am. Math. Soc. 12(1), 241-268 (1999) · Zbl 0933.11056 · doi:10.1090/S0894-0347-99-00281-7
[5] Coleman, R.F., de Shalit, E.: \[p\] p-adic regulators on curves and special values of \[p\] p-adic \[L\] L-functions. Invent. Math. 93(2), 239-266 (1988) · Zbl 0655.14010 · doi:10.1007/BF01394332
[6] Coleman, R.F., Lovita, A.: The Frobenius and monodromy operators for curves and abelian varieties. Duke Math. J. 97(1), 171-215 (1999) · Zbl 0962.14030 · doi:10.1215/S0012-7094-99-09708-9
[7] Coleman, R.F., Mazur, B.: The eigencurve. In: Galois representations in arithmetic algebraic geometry (Durham, 1996), vol. 254 of London Mathematical Society Lecture Note Series, pp. 1-113. Cambridge University Press, Cambridge (1998) · Zbl 0932.11030
[8] Coleman, R.F.: Division values in local fields. Invent. Math. 53(2), 91-116 (1979) · Zbl 0429.12010 · doi:10.1007/BF01390028
[9] Coleman, R.F.: The arithmetic of Lubin-Tate division towers. Duke Math. J. 48(2), 449-466 (1981) · Zbl 0475.12021 · doi:10.1215/S0012-7094-81-04825-0
[10] Coleman, R.F.: The dilogarithm and the norm residue symbol. Bull. Soc. Math. Fr. 109(4), 373-402 (1981) · Zbl 0493.12019
[11] Coleman, R.F.: Dilogarithms, regulators and \[p\] p-adic \[L\] L-functions. Invent. Math. 69(2), 171-208 (1982) · Zbl 0516.12017 · doi:10.1007/BF01399500
[12] Coleman, R.F.: Hodge-Tate periods and \[p\] p-adic abelian integrals. Invent. Math. 78(3), 351-379 (1984) · Zbl 0572.14024 · doi:10.1007/BF01388442
[13] Coleman, R.F.: Effective Chabauty. Duke Math. J. 52(3), 765-770 (1985) · Zbl 0588.14015 · doi:10.1215/S0012-7094-85-05240-8
[14] Coleman, R.F.: Torsion points on curves and \[p\] p-adic abelian integrals. Ann. Math. (2) 121(1), 111-168 (1985) · Zbl 0578.14038 · doi:10.2307/1971194
[15] Coleman, R.F.: Ramified torsion points on curves. Duke Math. J. 54(2), 615-640 (1987) · Zbl 0626.14022 · doi:10.1215/S0012-7094-87-05425-1
[16] Colmez, P.: Périodes \[p\] p-adiques des variétés abéliennes. Math. Ann. 292(4), 629-644 (1992) · Zbl 0793.14033 · doi:10.1007/BF01444640
[17] Coleman, R.F.: Classical and overconvergent modular forms. Invent. Math. 124(1-3), 215-241 (1996) · Zbl 0851.11030 · doi:10.1007/s002220050051
[18] Coleman, R.\[F.: p\] p-adic Banach spaces and families of modular forms. Invent. Math. 127(3), 417-479 (1997) · Zbl 0918.11026 · doi:10.1007/s002220050127
[19] Colmez, P.: A generalization of Coleman’s isomorphism. Sūrikaisekikenkyūsho Kōkyūroku, 1026:110-112 (1998). Algebraic number theory and related topics (Japanese) (Kyoto, 1997) · Zbl 1016.11537
[20] Coleman, R.F., Tamagawa, A., Tzermias, P.: The cuspidal torsion packet on the Fermat curve. J. Reine Angew. Math. 496, 73-81 (1998) · Zbl 0931.11024
[21] Hida, H.: Galois representations into \[{\rm GL}_2({ Z}_p[[X]])\] GL2(Zp[[X]]) attached to ordinary cusp forms. Invent. Math. 85(3), 545-613 (1986) · Zbl 0612.10021 · doi:10.1007/BF01390329
[22] Hida, H.: Elementary theory of \[L\] L-functions and Eisenstein series. London Mathematical Society Student Texts, vol. 26. Cambridge University Press, Cambridge (1993) · Zbl 0942.11024
[23] Hida, \[H.: p\] p-adic ordinary Hecke algebras for \[{\rm GL}(2)\] GL(2). Ann. Inst. Fourier (Grenoble) 44(5), 1289-1322 (1994) · Zbl 0819.11017 · doi:10.5802/aif.1434
[24] Poonen, B.: Computing torsion points on curves. Exp. Math. 10(3), 449-465 (2001) · Zbl 1063.11017 · doi:10.1080/10586458.2001.10504462
[25] Poonen, B., Schaefer, E.F., Stoll, M.: Twists of \[X(7)\] X(7) and primitive solutions to \[x^2+y^3=z^7\] x2+y3=z7. Duke Math. J. 137(1), 103-158 (2007) · Zbl 1124.11019 · doi:10.1215/S0012-7094-07-13714-1
[26] Ramanujan, S.: On certain arithmetical functions [Trans. Cambridge Philos. Soc. 22 (1916), no. 9, 159-184]. In: Collected papers of Srinivasa Ramanujan, pp. 136-162. AMS Chelsea Publishing, Providence (2000) · Zbl 07426016
[27] Serre, J.-P.: Une interprétation des congruences relatives à la fonction \[\tau\] τ de Ramanujan. In: Séminaire Delange-Pisot-Poitou: 1967/68, Théorie des Nombres, Fasc. 1, Exp. 14, p. 17. Secrétariat mathématique, Paris (1969) · Zbl 0793.14033
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