Fitting ideals of p-ramified Iwasawa modules over totally real fields

Author:

Greither Cornelius,Kataoka Takenori,Kurihara Masato

Abstract

AbstractWe completely calculate the Fitting ideal of the classical p-ramified Iwasawa module for any abelian extension K/k of totally real fields, using the shifted Fitting ideals recently developed by the second author. This generalizes former results where we had to assume that only p-adic places may ramify in K/k. One of the important ingredients is the computation of some complexes in appropriate derived categories.

Funder

Universität der Bundeswehr München

Publisher

Springer Science and Business Media LLC

Subject

General Physics and Astronomy,General Mathematics

Reference21 articles.

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