Refined Iwasawa theory and Kolyvagin systems of Gauss sum type

Masato Kurihara

doi:10.1112/plms/pdr044

Refined Iwasawa theory and Kolyvagin systems of Gauss sum type

Masato Kurihara

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

11 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 language	English
Pages (from-to)	728-769
Number of pages	42
Journal	Proceedings of the London Mathematical Society
Volume	104
Issue number	4
DOIs	https://doi.org/10.1112/plms/pdr044
Publication status	Published - 2012 Apr

ASJC Scopus subject areas

Mathematics(all)

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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.",

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Refined Iwasawa theory and Kolyvagin systems of Gauss sum type

Abstract

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