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

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

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 where we had to assume that only p -adic places may...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Selecta mathematica (Basel, Switzerland) Switzerland), 2022-02, Vol.28 (1), Article 14
Hauptverfasser: Greither, Cornelius, Kataoka, Takenori, Kurihara, Masato
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
Modules
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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 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.
ISSN:1022-1824
1420-9020
DOI:10.1007/s00029-021-00731-5