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September 2013 Deformations of elliptic fiber bundles in positive characteristic
Holger Partsch
Nagoya Math. J. 211: 79-108 (September 2013). DOI: 10.1215/00277630-2141608

Abstract

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.

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Holger Partsch. "Deformations of elliptic fiber bundles in positive characteristic." Nagoya Math. J. 211 79 - 108, September 2013. https://doi.org/10.1215/00277630-2141608

Information

Published: September 2013
First available in Project Euclid: 26 April 2013

zbMATH: 1274.14044
MathSciNet: MR3079280
Digital Object Identifier: 10.1215/00277630-2141608

Subjects:
Primary: 14J27
Secondary: 14D15

Rights: Copyright © 2013 Editorial Board, Nagoya Mathematical Journal

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Vol.211 • September 2013
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