The p-adic deformations of certain automorphic representations

被引：42

作者：

Skinner, Christopher

Urban, Et Eric

机构：

[1] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

[2] Columbia Univ, Dept Math, New York, NY 10027 USA

来源：

JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU | 2006年 / 5卷 / 04期

关键词：

p-adic modular forms; Galois representations; Selmer groups; L-functions;

D O I：

10.1017/S147474800600003X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By an entirely new method that makes use of p-adic deformations of automorphic representations of GSp(4/Q), we prove that the p-adic Selmer group H-f(1) (Q, V-f(k)) associated to a modular form f of weight 2k that is ordinary at p is infinite if the order of vanishing at k of the L-function of f is odd.

引用

页码：629 / 698

页数：70

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