In this paper we prove the weak local Tamagawa number conjecture for theremaining 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 restrictionswhich originate mainly from the Iwasawa theory of imaginary quadratic fields.
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机译:在本文中,我们证明了与作者先前论文的Hecke字符$ \ psi _ {\ theta}:\ mathbb {A} _K \ to K ^ * $相关的动机在其余非关键情况下的弱局部Tamagawa数猜想,其中$ K $是具有$ cl(K)= 1 $的虚数二次场,在一定的限制下,其主要源于Iwasawa虚实二次场理论。
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