Some Calabi–Yau threefolds with obstructed deformations over the Witt vectors

Stefan Schröer

doi:10.1112/S0010437X04000545

Abstract

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Some smooth Calabi–Yau threefolds in characteristic two and three that do not lift to characteristic zero are constructed. These threefolds are pencils of supersingular K3-surfaces. The construction depends on Moret-Bailly's pencil of abelian surfaces and Katsura's analysis of generalized Kummer surfaces. The threefold in characteristic two turns out to be nonrigid.

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Some Calabi–Yau threefolds with obstructed deformations over the Witt vectors

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This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Article contents

Some Calabi–Yau threefolds with obstructed deformations over the Witt vectors

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