paper

Global Divisibility of Heegner Points and Tamagawa Numbers

arXiv:math/0703431 · doi:10.1112/S0010437X08003497

Abstract

We improve Kolyvagin's upper bound on the order of the -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.

20 pages

Cited by in corpus (1)