Modularity of GL2(Fp)-representations over CM fields

被引:0
作者
Allen, Patrick B. [1 ]
Khare, Chandrashekhar [2 ]
Thorne, Jack A. [3 ]
机构
[1] Dept Math & Stat, Burnside Hall,805 Sherbrooke St West, Montreal, PQ H3A 0B9, Canada
[2] Univ Calif Los Angeles, Dept Math, 6363 Math Sci Bldg ,520 Portola Pl, Los Angeles, CA 90095 USA
[3] DPMMS, Wilberforce Rd, Cambridge CB3 0WB, England
基金
加拿大自然科学与工程研究理事会; 欧洲研究理事会;
关键词
Galois representations; Modularity of elliptic curves; COHOMOLOGY; REPRESENTATIONS; AUTOMORPHY;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove that many representations ? : Gal(K/K) ? GL(2)(F-3), where K is a CM field, arise from modular elliptic curves. We prove similar results when the prime p = 3 is replaced by p = 2 or p = 5. As a consequence, we prove that a positive proportion of elliptic curves over any CM field not containing a 5th root of unity are modular.
引用
收藏
页码:1 / 158
页数:158
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