Séminaires : Séminaire Théorie des Nombres

Equipe(s) : tn,
Responsables :Ziyang Gao, Marc Hindry, Bruno Kahn, João Pedro P. dos Santos
Email des responsables : ziyang.gao@imj-prg.fr
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Orateur(s) Dimitar Jetchev - ,
Titre Global Divisibility of Heegner Points and Tamagawa Numbers
Date02/04/2007
Horaire14:00 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.
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