Explicit determination of images of Galois representations attached to Hilbert modular forms

被引：4

作者：

Dieulefait, L

Dimitrov, M

机构：

[1] Univ Paris 07, UFR Math, F-75251 Paris, France

[2] Univ Barcelona, Dept Algebra & Geometria, E-08007 Barcelona, Spain

来源：

JOURNAL OF NUMBER THEORY | 2006年 / 117卷 / 02期

关键词：

Hilbert modular forms; residual Galois representations;

D O I：

10.1016/j.jnt.2005.07.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In a previous paper the second author proved that the image of the Galois representation modulo lambda attached to a Hilbert modular newform is "large" for all but finitely many primes lambda, if the newform is not a theta series. In this brief note, we give an explicit bound for this exceptional finite set of primes and determine the images in three different examples. Our examples are of Hilbert newforms on real quadratic fields, of parallel or non-parallel weight and of different levels. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：397 / 405

页数：9

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