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

2020/08/07 by Kataoka, Takenori
#11R23 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2008.02967

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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