On the image of Λ-adic galois representations

被引：9

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 50 条

[21] Independence of l-adic representations of geometric Galois groups
Boeckle, Gebhard
Gajda, Wojciech
Petersen, Sebastian
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2018, 736 : 69 - 93
[22] Local constancy in p-adic families of Galois representations
Kisin, M
MATHEMATISCHE ZEITSCHRIFT, 1999, 230 (03) : 569 - 593
[23] A note on Galois representations with big image
Katz, Nicholas M.
ENSEIGNEMENT MATHEMATIQUE, 2019, 65 (3-4): : 271 - 301
[24] Difference between l-adic Galois representations and pro-l outer Galois representations associated to hyperbolic curves
Iijima, Yu
MANUSCRIPTA MATHEMATICA, 2017, 153 (1-2) : 129 - 145
[25] Difference between l-adic Galois representations and pro-l outer Galois representations associated to hyperbolic curves
Yu Iijima
manuscripta mathematica, 2017, 153 : 129 - 145
[26] Independence of l-adic Galois representations over function fields
Gajda, Wojciech
Petersen, Sebastian
COMPOSITIO MATHEMATICA, 2013, 149 (07) : 1091 - 1107
[27] Fine Selmer groups of congruent p-adic Galois representations
Kleine, Soeren
Mueller, Katharina
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2022, 65 (03): : 702 - 722
[28] ON THE l-ADIC GALOIS REPRESENTATIONS ATTACHED TO NONSIMPLE ABELIAN VARIETIES
Lombardo, Davide
ANNALES DE L INSTITUT FOURIER, 2016, 66 (03) : 1217 - 1245
[29] Big Galois representations and p-adic L-functions
Hida, Haruzo
COMPOSITIO MATHEMATICA, 2015, 151 (04) : 603 - 664
[30] Group-theoretical independence of l-adic Galois representations
Petersen, Sebastian
ACTA ARITHMETICA, 2016, 176 (02) : 161 - 176

← 1 2 3 4 5 →