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

Cornelius Greither, Takenori Kataoka, Masato Kurihara

• 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.