Global Divisibility of Heegner Points and Tamagawa Numbers

Details Global Divisibility of Heegner Points and Tamagawa Numbers Global Divisibility of Heegner Points and Tamagawa Numbers

2007-03-14

arxiv.org/abs/math/0703431v1

Mathematics

Number Theory

20 pages

Scientific paper

We improve Kolyvagin's upper bound on the order of the $p$-primary part of
the Shafarevich-Tate group of an elliptic curve of rank one over a quadratic
imaginary field. In many cases, our bound is precisely the one predicted by the
Birch and Swinnerton-Dyer conjectural formula.

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