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arXiv · 2006.16775

Moret-Bailly families and non-liftable schemes

Damian Roessler·Stefan Schröer
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Abstract

Generalizing the Moret-Bailly pencil of supersingular abelian surfaces to higher dimensions, we construct for each field of characteristic p>0 a smooth projective variety with trivial dualizing sheaf that does not formally lift to characteristic zero. Our approach heavily relies on local unipotent group schemes, the Beauville--Bogomolov Decomposition for K\"ahler manifolds with $c_1=0$, and equivariant deformation theory

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Damian Roessler, Stefan Schröer. 2020-06-30. Moret-Bailly families and non-liftable schemes. https://arxiv.org/abs/2006.16775

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