On the equivariant Tamagawa number conjecture for Abelian extensions of a quadratic imaginary field
On the equivariant Tamagawa number conjecture for Abelian extensions of a quadratic imaginary field
复制标题
关于二次虚域阿贝尔扩张的等变玉川数猜想
DOI：
10.4171/dm/205
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发表时间：
2006
影响因子：
0.9
通讯作者：
W. Bley
中科院分区：
文献类型：
--
作者：
W. Bley
设k是二次虚域，p是素数，它在k/q中分裂且不除k的类数Hk，L表示k的有限交换扩张，K是L/k的次扩张.本文证明了关于(h0(Spec(L))，Z(Gal(L/K)对的等变Tamagawa数猜想的p-部分.
Let k be a quadratic imaginary field, p a prime which splits in k/Q and does not divide the class number hk of k. Let L denote a finite abelian extension of k and let K be a subextension of L/k. In this article we prove the p-part of the Equivariant Tamagawa Number Conjecture for the pair (h 0 (Spec(L)), Z(Gal(L/K))).