The local Tamagawa number conjecture for Hecke characters, II

Details The local Tamagawa number conjecture for Hecke characters, II The local Tamagawa number conjecture for Hecke characters, II

2007-01-23

arxiv.org/abs/math/0701634v1

Mathematics

Number Theory

Scientific paper

In this paper we prove the weak local Tamagawa number conjecture for the
remaining non-critical cases for the motives associated to Hecke characters
$\psi_{\theta}:\mathbb{A}_K\to K^*$ of the author's previous paper, where $K$
is an imaginary quadratic field with $cl(K)=1$, under certain restrictions
which originate mainly from the Iwasawa theory of imaginary quadratic fields.

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