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arXiv:math/0302064 [math.AG]AbstractReferencesReviewsResources

Some Calabi-Yau threefolds with obstructed deformations over the Witt vectors

Stefan Schroeer

Published 2003-02-06, updated 2003-06-29Version 2

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.

Comments: 16 pages, some proofs simplified, discriminants in Theorem 6.4 corrected
Journal: Compos. Math. 140 (2004), no. 6, 1579--1592
Categories: math.AG
Subjects: 14J28, 14J30, 14J32, 14K10
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