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Deformations of elliptic fiber bundles in positive characteristic
Published online by Cambridge University Press: 11 January 2016
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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- Copyright © Editorial Board of Nagoya Mathematical Journal 2013
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