ON PROJECTIVELY RATIONAL LIFTS OF MOD 7 GALOIS REPRESENTATIONS

被引：0

作者：

Burhanuddin, Iftikhar ^{[1
]}

Dieulefait, Luis

机构：

[1] UCLA, Math Dept, 520 Portola Plaza,Math Sci Bldg 6363, Los Angeles, CA 90095 USA

来源：

JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS | 2011年 / 20卷 / 01期

关键词：

projectively rational; Galois representati ons; modularity conjecture;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the problem of constructing "projectively rational" lifts of odd, two-dimensional Galois representations with values in F7. Using modular forms, in particular, the theory of congruences, we compute such lifts for many examples of mod 7 representations thus giving evidence that suggests that such lifts may always exist. We also consider the invariance after twist (weight change) of the existence of such lifts.

引用

页码：109 / 119

页数：11

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