English

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

Number Theory 2020-08-10 v1

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 pp-adic LL-functions. We also provide an application to Selmer groups of elliptic curves with complex multiplication.

Keywords

Cite

@article{arxiv.2008.02967,
  title  = {Fitting ideals in two-variable equivariant Iwasawa theory and an application},
  author = {Takenori Kataoka},
  journal= {arXiv preprint arXiv:2008.02967},
  year   = {2020}
}

Comments

21 pages

R2 v1 2026-06-23T17:41:46.742Z