Refined Iwasawa theory and Kolyvagin systems of Gauss sum type

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

In this paper, we establish a refinement of the usual Iwasawa main conjecture for the ideal class groups of CM-fields over a totally real field, using higher Fitting ideals.

Original languageEnglish
Pages (from-to)728-769
Number of pages42
JournalProceedings of the London Mathematical Society
Volume104
Issue number4
DOIs
Publication statusPublished - 2012 Apr

Fingerprint

CM-field
Iwasawa Theory
Ideal Class Group
Gauss Sums
Refinement

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Refined Iwasawa theory and Kolyvagin systems of Gauss sum type. / Kurihara, Masato.

In: Proceedings of the London Mathematical Society, Vol. 104, No. 4, 04.2012, p. 728-769.

Research output: Contribution to journalArticle

@article{ce05e10dc5484778be6b5c260d82f4be,
title = "Refined Iwasawa theory and Kolyvagin systems of Gauss sum type",
abstract = "In this paper, we establish a refinement of the usual Iwasawa main conjecture for the ideal class groups of CM-fields over a totally real field, using higher Fitting ideals.",
author = "Masato Kurihara",
year = "2012",
month = "4",
doi = "10.1112/plms/pdr044",
language = "English",
volume = "104",
pages = "728--769",
journal = "Proceedings of the London Mathematical Society",
issn = "0024-6115",
publisher = "Oxford University Press",
number = "4",

}

TY - JOUR

T1 - Refined Iwasawa theory and Kolyvagin systems of Gauss sum type

AU - Kurihara, Masato

PY - 2012/4

Y1 - 2012/4

N2 - In this paper, we establish a refinement of the usual Iwasawa main conjecture for the ideal class groups of CM-fields over a totally real field, using higher Fitting ideals.

AB - In this paper, we establish a refinement of the usual Iwasawa main conjecture for the ideal class groups of CM-fields over a totally real field, using higher Fitting ideals.

UR - http://www.scopus.com/inward/record.url?scp=84859604515&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84859604515&partnerID=8YFLogxK

U2 - 10.1112/plms/pdr044

DO - 10.1112/plms/pdr044

M3 - Article

AN - SCOPUS:84859604515

VL - 104

SP - 728

EP - 769

JO - Proceedings of the London Mathematical Society

JF - Proceedings of the London Mathematical Society

SN - 0024-6115

IS - 4

ER -