Global Divisibility of Heegner Points and Tamagawa Numbers
Date
02/04/2007
Horaire
14:00 à 16:00
Diffusion
Résume
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 with Heegner discriminant. If $p$ is an odd prime which divides at most one Tamagawa number, our bound is precisely the one predicted by the Birch and Swinnerton-Dyer conjectural formula.
