Some computations with Hecke rings and deformation rings

被引：10
|
作者：
Lario, JC
Schoof, R
Agashe, A
Stein, W
机构：
[1] Univ Politecn Cataluna, Fac Matemat & Estadist, E-08028 Barcelona, Spain
[2] Univ Roma Tor Vergata, Dept Math, I-00133 Rome, Italy
[3] Univ Texas, Dept Math, Austin, TX 78712 USA
[4] Harvard Univ, Dept Math, Cambridge, MA 02138 USA
来源：
EXPERIMENTAL MATHEMATICS | 2002年 / 11卷 / 02期
关键词：
Hecke rings; deformation rings; modularity; elliptic curves;
D O I：
10.1080/10586458.2002.10504694
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
in the proof by Wiles, completed by Taylor-Wiles, of the fact that all semistable elliptic curves over Q are modular, certain deformation rings play an important role. In this note, we explicitly compute these rings for the elliptic curve Y-2 + XY = X-3 - X-2 - X - 3 of conductor 142.
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页码：303 / 311
页数：9
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