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1. chinaXiv:201605.01812 [pdf]

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

LI, YONGXIONG ; LIU, YU ; Tian, Ye
Subjects: Mathematics >> Algebra and Number Theory

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.

submitted time 2016-05-19 Hits3078Downloads1214 Comment 0

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