Kolyvagin systems of Stark units
Number Theory
2013-03-08 v2
Abstract
In this paper we construct, using Stark elements of Rubin [Ann. Inst. Fourier (Grenoble) 46 (1996), no. 1, 33-62], Kolyvagin systems for certain modified Selmer structures (that are adjusted to have core rank one in the sense of [Mem. Amer. Math. Soc. 168 (2004), no. 799] 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 (1992), 141-154].
Cite
@article{arxiv.math/0703426,
title = {Kolyvagin systems of Stark units},
author = {Kazim Buyukboduk},
journal= {arXiv preprint arXiv:math/0703426},
year = {2013}
}
Comments
27 pages, revised version, accepted for publication in J. Reine Angew. Math. (Crelle's)