Small Resolutions and Non-Liftable Calabi-Yau threefolds

Autor:	Cynk, S., van Straten, D.
Rok vydání:	2008
Předmět:	Mathematics - Algebraic Geometry Mathematics - Number Theory
Druh dokumentu:	Working Paper
Popis:	We 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. Comment: 16 pages, 3 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0804.0668 Zobrazit plný text záznamu View this record from Arxiv