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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

12 Issues per year


IMPACT FACTOR 2016: 1.481

CiteScore 2016: 0.76

SCImago Journal Rank (SJR) 2015: 3.614
Source Normalized Impact per Paper (SNIP) 2015: 1.901

Mathematical Citation Quotient (MCQ) 2015: 1.53

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1435-5345
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Volume 2009, Issue 631 (Jan 2009)

Issues

Kolyvagin systems of Stark units

Kâzim Büyükboduk
Published Online: 2009-03-31 | DOI: https://doi.org/10.1515/CRELLE.2009.042

Abstract

In this paper we construct, using Stark elements of Rubin [Ann. Inst. Fourier 46: 33–62, 1996], Kolyvagin systems for certain modified Selmer structures (that are adjusted to have core rank one in the sense of [Mazur and Rubin, Mem. Amer. Math. Soc. 168: viii, 96, 2004]) and prove a Gras-type conjecture, relating these Kolyvagin systems to appropriate ideal class groups, refining the results of [Rubin, J. reine angew. Math. 425: 141–154, 1992] (in a sense we explain below), and of [Perrin-Riou, Ann. Inst. Fourier 48: 1231–1307, 1998], [Rubin, Euler systems, Princeton University Press, 2000] applied to our setting.

About the article

Received: 2007-03-14

Revised: 2008-02-11

Published Online: 2009-03-31

Published in Print: 2009-06-01



Citation Information: Journal für die reine und angewandte Mathematik (Crelles Journal), ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: https://doi.org/10.1515/CRELLE.2009.042. Export Citation

Citing Articles

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[1]
David Burns
Inventiones mathematicae, 2011, Volume 186, Number 2, Page 291
[2]
Kâzım Büyükboduk
Compositio Mathematica, 2009, Volume 145, Number 05, Page 1163

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