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

Cornelius Greither, Takenori Kataoka, Masato Kurihara

研究成果: Article査読

1 被引用数 (Scopus)

抄録

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.

本文言語English
論文番号14
ジャーナルSelecta Mathematica, New Series
28
1
DOI
出版ステータスPublished - 2022 2月

ASJC Scopus subject areas

  • 数学一般
  • 物理学および天文学一般

フィンガープリント

「Fitting ideals of p-ramified Iwasawa modules over totally real fields」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル