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Deformations of elliptic fiber bundles in positive characteristic

Published online by Cambridge University Press:  11 January 2016

Holger Partsch
Holger Partsch*
Affiliation:
Mathematisches Institut, Heinrich-Heine-Universität, D-40225 Düsseldorf, Germany, partsch@math.uni-duesseldorf.de
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Abstract

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We study the deformation theory of elliptic fiber bundles over curves in positive characteristics. As applications, we give examples of nonliftable elliptic surfaces in characteristics 2 and 3, which answer a question of Katsura and Ueno. Also, we construct a class of elliptic fibrations, whose liftability is equivalent to a conjecture of Oort concerning the liftability of automorphisms of curves. Finally, we classify deformations of bielliptic surfaces.

Keywords

14J2714D15
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 211 , September 2013 , pp. 79 - 108
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2013

References

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