Review of the Collected Works of John Tate
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- by J. S. Milne PDF
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Abstract:
This is a review of Collected Works of John Tate. Parts I, II, edited by Barry Mazur and Jean-Pierre Serre. American Mathematical Society, Providence, Rhode Island, 2016.References
- Correspondance Serre-Tate. Vol. I, II. Edited, and with notes and commentaries by Pierre Colmez and Jean-Pierre Serre. Documents Mathématiques (Paris), 13, 14. Société Mathématique de France, Paris, 2015.
- Nicholas M. Katz and John Tate, Bernard Dwork (1923–1998), Notices Amer. Math. Soc. 46 (1999), no. 3, 338–343. MR 1669973
- Barry Mazur, William Stein, and John Tate, Computation of $p$-adic heights and log convergence, Doc. Math. Extra Vol. (2006), 577–614. MR 2290599
- Helge Holden and Ragni Piene (eds.), The Abel Prize 2008–2012, Springer, Heidelberg, 2014. MR 3185030, DOI 10.1007/978-3-642-39449-2
- Jean-Pierre Serre and John Tate, Good reduction of abelian varieties, Ann. of Math. (2) 88 (1968), 492–517. MR 236190, DOI 10.2307/1970722
- John Tate, Duality theorems in Galois cohomology over number fields, Proc. Internat. Congr. Mathematicians (Stockholm, 1962) Inst. Mittag-Leffler, Djursholm, 1963, pp. 288–295. MR 0175892
- John T. Tate, Algebraic cycles and poles of zeta functions, Arithmetical Algebraic Geometry (Proc. Conf. Purdue Univ., 1963) Harper & Row, New York, 1965, pp. 93–110. MR 0225778
- J. Tate, The cohomology groups of tori in finite Galois extensions of number fields, Nagoya Math. J. 27 (1966), 709–719. MR 207680, DOI 10.1017/S0027763000026490
- John Tate, Rigid analytic spaces, Invent. Math. 12 (1971), 257–289. MR 306196, DOI 10.1007/BF01403307
- John Tate, Symbols in arithmetic, Actes du Congrès International des Mathématiciens (Nice, 1970) Gauthier-Villars, Paris, 1971, pp. 201–211. MR 0422212
- John Tate, Galois cohomology, Arithmetic algebraic geometry (Park City, UT, 1999) IAS/Park City Math. Ser., vol. 9, Amer. Math. Soc., Providence, RI, 2001, pp. 465–479. MR 1857470, DOI 10.1090/pcms/009/07
Additional Information
- J. S. Milne
- Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan
- MR Author ID: 125025
- Received by editor(s): September 5, 2016
- Published electronically: June 6, 2017
- © Copyright 2017 American Mathematical Society
- Journal: Bull. Amer. Math. Soc. 54 (2017), 551-558
- MSC (2010): Primary 01A75, 11-06, 14-06
- DOI: https://doi.org/10.1090/bull/1583
- MathSciNet review: 3683623