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arXiv · 2102.01545

The equivariant Tamagawa Number Conjecture for abelian extensions of imaginary quadratic fields

Dominik Bullach·Martin Hofer
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Abstract

We prove the Iwasawa-theoretic version of a Conjecture of Mazur--Rubin and Sano in the case of elliptic units. This allows us to derive the $p$-part of the equivariant Tamagawa number conjecture at $s = 0$ for abelian extensions of imaginary quadratic fields in the semi-simple case and, provided that a standard $\mu$-vanishing hypothesis is satisfied, also in the general case.

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Dominik Bullach, Martin Hofer. 2021-02-02. The equivariant Tamagawa Number Conjecture for abelian extensions of imaginary quadratic fields. https://arxiv.org/abs/2102.01545

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