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) B. Poonen - ,
Titre Algebraic families of nonzero elements of Shafarevich-Tate groups.
Date28/01/1999
Horaire14:00 à 16:00
Diffusion
RésumeWe construct non-trivial families of torsors of abelian varietiesparameterized by an open subset of ${\mathbf P}^1$ over $\mathbf Q$,such that every rational fiber (and in fact each fiber above a closedpoint of odd degree) represents a nonzero element of theShafarevich-Tate group of the corresponding abelian variety. This isjoint work with J.-L. Colliot-Thélène.
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