The local Tamagawa number conjecture for Hecke characters, II

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 $ψ_θ:\mathbb{A}_K\to K^*$ 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.

The preprint "The local Tamagawa number conjecture for Hecke characters, II", appeared as section 6 of the present manuscript, which includes two old prepints of the author, under the joint title "On the Tamagawa number conjecture for Hecke characters"