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Publication Date:
February 2011
ISSN:
1435-5345
DOI:
10.1515/crelle.2011.020

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Journal für die reine und angewandte Mathematik

Managing Editor: Weissauer, Rainer

Ed. by Colding, Tobias / Cuntz, Joachim / Huybrechts, Daniel / Hwang, Jun-Muk

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Rank 37 out of 288 in category Mathematics in the 2011 Thomson Reuters Journal Citation Report/Science Edition
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On the equivariant main conjecture for imaginary quadratic fields

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1Department of Mathematics, University of Idaho, Moscow, ID 83844-1103, USA

2Fachbereich Mathematik, Universität Regensburg, Universitätsstr. 31, 93040 Regensburg, Germany

Citation Information: Journal für die reine und angewandte Mathematik (Crelles Journal). Volume 2011, Issue 653, Pages 75–114, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: 10.1515/crelle.2011.020, February 2011

Publication History:
Received:
2008-05-02
Revised:
2010-10-26
Published Online:
2011-02-01

Abstract

In this paper we first prove the main conjecture for imaginary quadratic fields for all prime numbers p, improving slightly earlier results by Rubin. From this we deduce the equivariant main conjecture in the case that a certain μ-invariant vanishes. For prime numbers p ∤ 6 which split in K, we can prove the equivariant main conjecture using a theorem by Gillard.

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