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arXiv · 2006.05667

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

Cornelius Greither·Takenori Kataoka·Masato Kurihara
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Abstract

We 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 by the first and third authors 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.

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Cornelius Greither, Takenori Kataoka, Masato Kurihara. 2020-06-10. Fitting ideals of $p$-ramified Iwasawa modules over totally real fields. https://arxiv.org/abs/2006.05667

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