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

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
16 pages, some proofs simplified, discriminants in Theorem 6.4 corrected

Keywords

Algebraic Geometry, 14J28, 14J30, 14J32, 14K10

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/126459

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0302064
 http://arxiv.org/abs/math/0302064
 Compos. Math. 140 (2004), no. 6, 1579--1592

Collections

arXiv