On the modularity of supersingular elliptic curves over certain totally real number fields
نویسندگان
چکیده
منابع مشابه
2 9 A ug 2 00 7 On the modularity of supersingular elliptic curves over certain totally real number fields
We study generalisations to totally real fields of the methods originating with Wiles and Taylor-Wiles ([32], [31]). In view of the results of Skinner-Wiles [26] on elliptic curves with ordinary reduction, we focus here on the case of supersingular reduction. Combining these, we then obtain some partial results on the modularity problem for semistable elliptic curves, and end by giving some app...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2008
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2007.10.003