Moret-Bailly families of supersingular abelian varieties
Lundi, 6 Septembre, 2021 - 14:00
Résumé :
Generalizing the Moret-Bailly pencil of abelian surfaces to higher dimensions, we construct for each field of characteristic p > 0 smooth projective schemes with trivial dualizing sheaf that do not lift to characteristic zero. Our approach heavily relies on local unipotent group schemes, the Beauville–Bogomolov decomposition forKähler manifolds with $c_1 = 0$, and equivariant deformation theory in
mixed characteristics. This is joint work with Damian Roessler.
Institution de l'orateur :
Heinrich-Heine-Universtität Düsseldorf
Thème de recherche :
Algèbre et géométries
Salle :
4