The Selmer Groups of Elliptic Curves

The Selmer Groups of Elliptic Curves

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摘要 Let E / K be an elliptic curve with K-rational p-torsion points. The p-Selmer group of E is described by the image of a map uK and hence an upper bound of its order is given in terms of the class numbers of the S-ideal class group of K and the p-division field of E. Let E / K be an elliptic curve with K-rational p-torsion points. The p-Selmer group of E is described by the image of a map uK and hence an upper bound of its order is given in terms of the class numbers of the S-ideal class group of K and the p-division field of E.

作者 FuZhengWANG

机构地区 DepartmentofMathematics

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2003年第1期89-96,共8页 数学学报（英文版）

关键词 Elliptic curve Selmer group S ideal class group Elliptic curve Selmer group S ideal class group

分类号 O152 [理学—基础数学]

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Acta Mathematica Sinica,English Series

2003年第1期

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The Selmer Groups of Elliptic Curves

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