Some Calabi-Yau threefolds with obstructed deformations over the Witt vectors
Algebraic Geometry
2007-05-23 v2
Abstract
I 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.
Keywords
Cite
@article{arxiv.math/0302064,
title = {Some Calabi-Yau threefolds with obstructed deformations over the Witt vectors},
author = {Stefan Schroeer},
journal= {arXiv preprint arXiv:math/0302064},
year = {2007}
}
Comments
16 pages, some proofs simplified, discriminants in Theorem 6.4 corrected