Explicit unobstructed primes for modular deformation problems of squarefree level

被引：10

作者：

Weston, T ^{[1
]}

机构：

[1] Univ Massachusetts, Dept Math & Stat, Amherst, MA 01003 USA

来源：

JOURNAL OF NUMBER THEORY | 2005年 / 110卷 / 01期

基金：

美国国家科学基金会;

关键词：

modular forms; deformation theory; congruences;

D O I：

10.1016/j.jnt.2004.01.010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let f be a newform of weight k greater than or equal to 3 with Fourier coefficients in a number field K. We give explicit bounds on the set of primes lambda of K for which the deformation problem associated to the mod lambda Galois representation of f is obstructed. We include some explicit examples. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：199 / 218

页数：20

共 22 条

[1] REPRESENTATIONS RELATED TO CM ELLIPTIC-CURVES [J].

BOSTON, N ;

ULLOM, SV .

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1993, 113 :71-85

[2]

CARAYOL H, 1986, ANN SCI ECOLE NORM S, V19, P409

[3]

deSmit B, 1997, MODULAR FORMS AND FERMAT'S LAST THEOREM, P313

[4]

Diamond F, 1997, MODULAR FORMS AND FERMAT'S LAST THEOREM, P475

[5] LIFTING MODULAR MOD L REPRESENTATIONS [J].

DIAMOND, F ;

TAYLOR, R .

DUKE MATHEMATICAL JOURNAL, 1994, 74 (02) :253-269

[6]

DIAMOND F, ADJOINT MOTIVES MODU

[7]

DICKINSON M, 2001, ARITHMETIC ALGEBRAIC, P233

[8]

EDIXHOVEN B, 1997, MODULAR FORMS FERMAT, P475

[9] A FINITENESS THEOREM FOR THE SYMMETRICAL SQUARE OF AN ELLIPTIC CURVE [J].

FLACH, M .

INVENTIONES MATHEMATICAE, 1992, 109 (02) :307-327

[10]

FLACH M, 1990, J REINE ANGEW MATH, V412, P113

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