Small Resolutions and Non-Liftable Calabi-Yau threefolds

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dc.creatorCynk, S.
dc.creatorvan Straten, D.
dc.date2008-04-04
dc.date2008-04-09
dc.date.accessioned2026-07-07T09:30:58Z
dc.date.available2026-07-07T09:30:58Z
dc.descriptionWe use properties of small resolutions of the ordinary double point in dimension three to construct smooth non-liftable Calabi-Yau threefolds. In particular, we construct a smooth projective Calabi-Yau threefold over $\F_3$ that does not lift to characteristic zero and a smooth projective Calabi-Yau threefold over $\F_5$ having an obstructed deformation. We also construct many examples of smooth Calabi-Yau algebraic spaces over $\F_p$ that do not lift to algebraic spaces in characteristic zero.
dc.description16 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0804.0668
dc.identifierhttp://arxiv.org/abs/0804.0668
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158298
dc.subjectAlgebraic Geometry
dc.subjectNumber Theory
dc.titleSmall Resolutions and Non-Liftable Calabi-Yau threefolds
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