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Refined Iwasawa theory and Kolyvagin systems of Gauss sum type
Author(s) -
Kurihara Masato
Publication year - 2012
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/plms/pdr044
Subject(s) - mathematics , gauss , iwasawa theory , type (biology) , pure mathematics , algebra over a field , abelian group , ecology , physics , quantum mechanics , biology
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.