THE EXPLICIT RECIPROCITY LAW OF BLOCH-KATO

被引：0
|
作者：
DESHALIT, E [1 ]
机构：
[1] HEBREW UNIV JERUSALEM,INST MATH,IL-91904 JERUSALEM,ISRAEL
来源：
ASTERISQUE | 1995年 / 228期
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a detailed account of the ''fundamental exact sequence'', which is basic to understanding the ring B-cris (both B-cris and the fundamental exact sequence are due to Fontaine). We present a proof of the explicit reciprocity law of Bloch and Kato, which is somewhat different than the original one. We then discuss the possibility of extending there results to Lubin-Tate groups of height > 1.
引用
收藏
页码：197 / 221
页数：25
相关论文
共 50 条
  • [1] Explicit Reciprocity Law of Bloch-Kato and Exponential Maps
    Saikia, Anupam
    Bloch-Kato Conjecture for the Riemann Zeta Function, 2015, 418 : 65 - 96
  • [2] Diagonal classes and the Bloch-Kato conjecture
    Bertolini, Massimo
    Seveso, Marco Adamo
    Venerucci, Rodolfo
    MUENSTER JOURNAL OF MATHEMATICS, 2020, 13 (02): : 317 - 352
  • [3] On the continuity of the finite Bloch-Kato cohomology
    Iovita, Adrian
    Marmora, Adriano
    RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2015, 134 : 239 - 271
  • [4] On the Bloch-Kato conjecture for the symmetric cube
    Loeffler, David
    Zerbes, Sarah Livia
    JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2023, 25 (08) : 3359 - 3363
  • [5] On the Bloch-Kato conjecture for Hilbert modular forms
    Tamiozzo, Matteo
    MATHEMATISCHE ZEITSCHRIFT, 2021, 299 (1-2) : 427 - 458
  • [6] Hodge type conjectures and the Bloch-Kato theorem
    Lewis, James D.
    HODGE THEORY, COMPLEX GEOMETRY, AND REPRESENTATION THEORY, 2014, 608 : 235 - 258
  • [7] Rationality problems and conjectures of Milnor and Bloch-Kato
    Asok, Aravind
    COMPOSITIO MATHEMATICA, 2013, 149 (08) : 1312 - 1326
  • [8] Diagonal hypersurfaces and the Bloch-Kato conjecture, I
    Swinnerton-Dyer, Peter
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2014, 90 : 845 - 860
  • [9] The Bloch-Kato conjecture for adjoint motives of modular forms
    Diamond, F
    Flach, M
    Guo, L
    MATHEMATICAL RESEARCH LETTERS, 2001, 8 (04) : 437 - 442
  • [10] Bloch-Kato conjecture and motivic cohomology with finite coefficients
    Suslin, A
    Voevodsky, V
    ARITHMETIC AND GEOMETRY OF ALGEBRAIC CYCLES, 2000, 548 : 117 - 189
12345