6 research outputs found
Kolyvagin systems of Stark units
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].Comment: 27 pages, revised version, accepted for publication in J. Reine
Angew. Math. (Crelle's