The local Tamagawa number conjecture for Hecke characters, II

Francesc Bars

doi:10.1002/mana.200810051

The local Tamagawa number conjecture for Hecke characters, II

Number Theory 2016-07-01 v2

Authors: Francesc Bars

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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 $\psi_{\theta}:\mathbb{A}_K\to K^*$ 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.

Keywords

local Tamagawa number conjecture Hecke characters motives non-critical cases imaginary quadratic field Iwasawa theory

Cite

@article{arxiv.math/0701634,
  title  = {The local Tamagawa number conjecture for Hecke characters, II},
  author = {Francesc Bars},
  journal= {arXiv preprint arXiv:math/0701634},
  year   = {2016}
}

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"

The local Tamagawa number conjecture for Hecke characters, II

Abstract

Keywords

Cite

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