Algebraic families of nonzero elements of Shafarevich-Tate groups.
Date
28/01/1999
Horaire
14:00 à 16:00
Diffusion
Résume
We 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.
