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

• Cornelius Greither ^[2] ; Takenori Kataoka ^[1] ; Masato Kurihara ^[1]
  1. [1] Keio University

     Keio University

     Japón

     
  2. [2] Universität der Bundeswehr München, Alemania
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 28, Nº. 1, 2022
• Idioma: inglés
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• Resumen

  • 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.