Calabi-Yau threefolds arising from fiber products of rational quasi-elliptic surfaces, II

Manuscripta Mathematica Volume 125 Issue 3 Page 325-343 published_at 2008-03
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Title ( eng )
Calabi-Yau threefolds arising from fiber products of rational quasi-elliptic surfaces, II
Creator
Hirokado Masayuki
Saito Natsuo
Source Title
Manuscripta Mathematica
Volume 125
Issue 3
Start Page 325
End Page 343
Abstract
We construct examples of supersingular Calabi-Yau threefolds in characteristic 2 making use of the method by Schoen. Unirational Calabi-Yau threefolds of five different topological types are obtained. There are two examples with the third Betti number zero among them, and they are counted as other examples of non-liftable Calabi-Yau threefolds in characteristic 2 after the one given by Schröer
Keywords
Calabi-Yau threefolds
quasi-elliptic surfaces
crepant resolutations
supersingular K3 surfaces
NDC
Mathematics [ 410 ]
Language
eng
Resource Type journal article
Publisher
Springer-Verlag
Date of Issued 2008-03
Rights
Copyright (c) 2007 Springer-Verlag
Publish Type Author’s Original
Access Rights open access
Source Identifier
The original version is abailable at www.springerlink.com
[DOI] 10.1007/s00229-007-0151-x
[DOI] http://dx.doi.org/10.1007/s00229-007-0151-x isVersionOf