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

[41] Mod p galois representations of solvable image
Moon, H
Taguchi, Y
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2001, 129 (09) : 2529 - 2534
[42] The image of the Galois group for some crystalline representations
Abrashkin, VA
IZVESTIYA MATHEMATICS, 1999, 63 (01) : 1 - 36
[43] Constructing galois representations with very large image
Ramakrishna, Ravi
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2008, 60 (01): : 208 - 221
[44] ANDERSON t-MODULES WITH THIN t-ADIC GALOIS REPRESENTATIONS
Maurischat, Andreas
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2022, 150 (03) : 927 - 940
[45] Modularity of nearly ordinary 2-adic residually dihedral Galois representations
Allen, Patrick B.
COMPOSITIO MATHEMATICA, 2014, 150 (08) : 1235 - 1346
[46] p-ADIC FAMILIES AND GALOIS REPRESENTATIONS FOR GSp(4) AND GL(2)
Jorza, Andrei
MATHEMATICAL RESEARCH LETTERS, 2012, 19 (05) : 987 - 996
[47] Universal eigenvarieties, trianguline Galois representations, and p-adic Langlands functoriality
Hansen, David
Newton, James
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2017, 730 : 1 - 64
[48] SOME P-ADIC GALOIS REPRESENTATIONS FOR CURVES IN CHARACTERISTIC-P
VALENTINI, RC
MATHEMATISCHE ZEITSCHRIFT, 1986, 192 (04) : 541 - 545
[49] 3 VARIABLE P-ADIC FAMILIES OF SIEGEL EIGENSYSTEMS AND OF GALOIS REPRESENTATIONS
TILOUINE, J
URBAN, E
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1995, 321 (01): : 5 - 10
[50] A NOTE ON THE p-ADIC GALOIS REPRESENTATIONS ATTACHED TO HILBERT MODULAR FORMS
Skinner, Christopher
DOCUMENTA MATHEMATICA, 2009, 14 : 241 - 258

← 1 2 3 4 5 →