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arxiv: math/0701634 · v2 · pith:OQHIL674new · submitted 2007-01-23 · 🧮 math.NT

The local Tamagawa number conjecture for Hecke characters, II

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keywords charactersconjectureheckeimaginarylocalnumberquadratictamagawa
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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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