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2021 Fitting Ideals in Two-variable Equivariant Iwasawa Theory and an Application to CM Elliptic Curves
KATAOKA Takenori
Tokyo J. Math. Advance Publication 1-23 (2021). DOI: 10.3836/tjm/1502179347

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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KATAOKA Takenori. "Fitting Ideals in Two-variable Equivariant Iwasawa Theory and an Application to CM Elliptic Curves." Tokyo J. Math. Advance Publication 1 - 23, 2021. https://doi.org/10.3836/tjm/1502179347

Information

Published: 2021
First available in Project Euclid: 26 August 2021

Digital Object Identifier: 10.3836/tjm/1502179347

Subjects:
Primary: 11R23

Rights: Copyright © 2021 Publication Committee for the Tokyo Journal of Mathematics

JOURNAL ARTICLE
23 PAGES

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