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

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dc.creatorSchroeer, Stefan
dc.date2003-02-06
dc.date2003-06-29
dc.date.accessioned2026-07-07T07:54:04Z
dc.date.available2026-07-07T07:54:04Z
dc.descriptionI construct some smooth Calabi-Yau threefolds in characteristic two and three that do not lift to characteristic zero. 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.
dc.description16 pages, some proofs simplified, discriminants in Theorem 6.4 corrected
dc.identifierhttps://arxiv.org/abs/math/0302064
dc.identifierhttp://arxiv.org/abs/math/0302064
dc.identifierCompos. Math. 140 (2004), no. 6, 1579--1592
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126459
dc.subjectAlgebraic Geometry
dc.subject14J28, 14J30, 14J32, 14K10
dc.titleSome Calabi-Yau threefolds with obstructed deformations over the Witt vectors
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