Francesc Bars
Published 2007-01-23, updated 2016-06-30Version 2
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.
Comments: 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"
Bloch-Beilinson conjectures for Hecke characters and Eisenstein cohomology of Picard surfaces
Nonvanishing of $L$-function of some Hecke characters on cyclotomic fields
Euler systems for modular forms over imaginary quadratic fields
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