On the image of Λ-adic galois representations

被引：11

作者：

Fischman, A

机构：

[1] Seattle, WA 98133

来源：

ANNALES DE L INSTITUT FOURIER | 2002年 / 52卷 / 02期

关键词：

modular form; p-adic family; galois representation; p-adic modular form;

D O I：

10.5802/aif.1890

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We explore the question of how big the image of a Galois representation attached to a Lambda-adic modular form with no complex multiplication is and show that for a "generic" set of Lambda-adic modular forms (normalized, ordinary eigenforms with no complex multiplication), all have a large image.

引用

页码：351 / +

页数：29

共 17 条

[1]

[Anonymous], 1987, SUGAKU, V39, P124

[2]

[Anonymous], 1971, PUBLICATIONS MATH SO

[3] Discriminant of Hecke fields and twisted adjoint L-values for GL(2) [J].