Kolyvagin systems of Stark units

被引：18

作者：

Bueyuekboduk, Kazim ^{[1
]}

机构：

[1] Stanford Univ, Dept Math, Stanford, CA 94305 USA

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2009年 / 631卷

关键词：

CONJECTURES;

D O I：

10.1515/CRELLE.2009.042

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we construct, using Stark elements of Rubin [8], Kolyvagin systems for certain modified Selmer structures (that are adjusted to have core rank one in the sense of [4]) and prove a Gras-type conjecture, relating these Kolyvagin systems to appropriate ideal class groups, refining the results of [7] (in a sense we explain below), and of [5], [9] applied to our setting.

引用

页码：85 / 107

页数：23

共 13 条

[1]

Benedict H., 1988, J FAC SCI U TOKYO IA, V35, P177

[2]

BUYUKBODUK K, 2007, A ADIC KOLYVAGIN SYS

[3]

Krasner M., 1939, Acta Arith, V3, P133

[4]

Mazur B, 2004, MEM AM MATH SOC, V168, pVII