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

Cornelius Greither, Takenori Kataoka, Masato Kurihara

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


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.

Original languageEnglish
Article number14
JournalSelecta Mathematica, New Series
Issue number1
Publication statusPublished - 2022 Feb


  • Cohomology
  • Complexes
  • Fitting ideals
  • Iwasawa modules

ASJC Scopus subject areas

  • Mathematics(all)
  • Physics and Astronomy(all)


Dive into the research topics of 'Fitting ideals of p-ramified Iwasawa modules over totally real fields'. Together they form a unique fingerprint.

Cite this