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Stefan Schröer

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 : 
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