Publication

Serre-Tate theory for Calabi-Yau varieties

Maciej Emilian Zdanowicz
2021
Journal Articles

Abstract

Classical Serre-Tate theory describes deformations of ordinary abelian varieties. It implies that every such variety has a canonical lift to characteristic zero and equips the base of its universal deformation with a Frobenius lifting and canonical multiplicative coordinates. A variant of this theory has been obtained for ordinary K3 surfaces by Nygaard and Ogus.

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Serre-Tate theory for Calabi-Yau varieties

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