On non-liftable Calabi-Yau threefolds

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Only two ways to construct non-liftable Calabi-Yau threefolds are currently known, one example by Hirokado and one method of Schröer. This article computes some cohomological invariants of these examples of non-liftable Calabi-Yau threefolds, in particular it computes their mini-versal deformations. One conclusion is that their mixed characteristic mini-versal deformation spaces are actually smooth over the characteristic $p$ base field. Furthermore, a new family, constructed in the spirit of Schröer, is introduced and the same calculations are performed for it.
31 pages. An improper use of a result of Deligne and Illusie has been replaced with a proper one. Also some other minor corrections

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Algebraic Geometry, 14J32 (Primary), 14B12 (Secondary), 14J28 (Secondary), 14F40(Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/67931

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0306435
 http://arxiv.org/abs/math/0306435

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arXiv