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

Cornelius Greither; Takenori Kataoka; Masato Kurihara

doi:10.1007/s00029-021-00731-5

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

Cornelius Greither, Takenori Kataoka, Masato Kurihara

数理科学科

研究成果: Article › 査読

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
巻	28
号	1
DOI	https://doi.org/10.1007/s00029-021-00731-5
出版ステータス	Published - 2022 2月

ASJC Scopus subject areas

数学 (全般)
物理学および天文学（全般）

文献へのアクセス

10.1007/s00029-021-00731-5

他のファイルとリンク

引用スタイル

@article{50d3a1ebd1bf4cd19a5ffaa383f76472,

title = "Fitting ideals of p-ramified Iwasawa modules over totally real fields",

abstract = "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.",

keywords = "Cohomology, Complexes, Fitting ideals, Iwasawa modules",

author = "Cornelius Greither and Takenori Kataoka and Masato Kurihara",

note = "Funding Information: The second-named author acknowledges support by JSPS KAKENHI Grant Number 19J00763. Publisher Copyright: {\textcopyright} 2021, The Author(s).",

year = "2022",

month = feb,

doi = "10.1007/s00029-021-00731-5",

language = "English",

volume = "28",

journal = "Selecta Mathematica, New Series",

issn = "1022-1824",

publisher = "Birkhauser Verlag Basel",

number = "1",

}

TY - JOUR

T1 - Fitting ideals of p-ramified Iwasawa modules over totally real fields

AU - Greither, Cornelius

AU - Kataoka, Takenori

AU - Kurihara, Masato

PY - 2022/2

Y1 - 2022/2

N2 - 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.

AB - 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.

KW - Cohomology

KW - Complexes

KW - Fitting ideals

KW - Iwasawa modules

UR - http://www.scopus.com/inward/record.url?scp=85120993089&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85120993089&partnerID=8YFLogxK

U2 - 10.1007/s00029-021-00731-5

DO - 10.1007/s00029-021-00731-5

M3 - Article

AN - SCOPUS:85120993089

SN - 1022-1824

VL - 28

JO - Selecta Mathematica, New Series

JF - Selecta Mathematica, New Series

IS - 1

M1 - 14

ER -

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

抄録

ASJC Scopus subject areas

文献へのアクセス

他のファイルとリンク

フィンガープリント

引用スタイル