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arXiv · 2008.02967

Fitting ideals in two-variable equivariant Iwasawa theory and an application

Takenori Kataoka
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Abstract

We study equivariant Iwasawa theory for two-variable abelian extensions of an imaginary quadratic field. One of the main goals of this paper is to describe the Fitting ideals of Iwasawa modules using $p$-adic $L$-functions. We also provide an application to Selmer groups of elliptic curves with complex multiplication.

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Takenori Kataoka. 2020-08-07. Fitting ideals in two-variable equivariant Iwasawa theory and an application. https://arxiv.org/abs/2008.02967

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