On The Birch and Swinnerton-Dyer Conjecture for CM Elliptic Curves over Q

作者： LI, YONGXIONG ¹ LIU, YU ¹ Tian, Ye ²
作者单位：
1. 清华大学

2. AMSS
提交时间：2016-05-19

摘要: For CM elliptic curve over rational field with analytic rank one, for any potential good ordinary prime p, not dividing the number of roots of unity in the complex multiplication field, we show the p-part of its Shafarevich-Tate group has order predicted by the Birch and Swinnerton-Dyer conjecture.

Elliptic Curves BSD conjecture CM

来自： 田野
分类： 数学 >> 代数与数论
引用： ChinaXiv:201605.01812 (或此版本 ChinaXiv:201605.01812V1)
doi:10.12074/201605.01812
CSTR:32003.36.ChinaXiv.201605.01812.V1
推荐引用方式： LI, YONGXIONG ,LIU, YU ,Tian, Ye.(2016).On The Birch and Swinnerton-Dyer Conjecture for CM Elliptic Curves over Q.中国科学院科技论文预发布平台.[ChinaXiv:201605.01812] (点此复制)

版本历史

[V1]

2016-05-19 20:45:03

ChinaXiv:201605.01812V1

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