Small Resolutions and Non-Liftable Calabi-Yau threefolds

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
16 pages, 3 figures

Keywords

Algebraic Geometry, Number Theory

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/158298

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0804.0668
 http://arxiv.org/abs/0804.0668

Collections

arXiv