Year: 1999
Type: article
Abstract: We show the existence of a Calabi-Yau threefold in characteristic 3 with its third Betti number zero.This example admits no lifting to characteristic zero and hence indicates that a theorem by Deligne that any K3 surface in positive characteristic has a lifting to characteristic zero cannot be generalized straightforward to the case of Calabi-Yau threefolds.
Source: Tohoku Mathematical Journal
Author: Masayuki Hirokado
Institution: Hiroshima City University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1972675952