The local Tamagawa number conjecture for Hecke characters, II

preprint2016arXivOpen access

Abstract

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

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