The Equivariant Tamagawa Number Conjecture: A survey
The Equivariant Tamagawa Number Conjecture: A survey
复制标题
等变玉川数猜想：一项调查
DOI：
--
复制
发表时间：
2003
期刊：
影响因子：
--
通讯作者：
C. Greither
中科院分区：
文献类型：
--
作者：
M. Flach;C. Greither
我们给出了等变Tamagawa数（a.k.a. Bloch-Kato）猜想，特别强调已证明的情况。唯一的新结果是证明了这一猜想的2-主要部分的泰特动机在阿贝尔领域。本文是2002年8月5日至9日在巴尔的摩约翰霍普金斯大学举行的斯塔克猜想会议上发表的一篇综述性演讲的扩展版。我们试图在概括时保持谈话的简洁性，但在例子部分进行了相当大的扩展。下面的大部分概括了众所周知的材料，由于许多人。第三部分是与D. [14][15][16][17]是主要参考文献。在第5.1节中，我们给出了主要结果的详细证明，其中也包括素数l = 2（迄今为止在文献中还没有）。
We give a survey of the equivariant Tamagawa number (a.k.a. Bloch-Kato) conjecture with particular emphasis on proven cases. The only new result is a proof of the 2-primary part of this conjecture for Tate-motives over abelian fields. This article is an expanded version of a survey talk given at the conference on Stark’s conjecture, Johns Hopkins University, Baltimore, August 5-9, 2002. We have tried to retain the succinctness of the talk when covering generalities but have considerably expanded the section on examples. Most of the following recapitulates well known material due to many people. Section 3 is joint work with D. Burns (for which [14], [15], [16], [17] are the main references). In section 5.1 we have given a detailed proof of the main result which also covers the prime l = 2 (unavailable in the literature so far).