Deformations of elliptic fibre bundles in positive characteristic

Details Deformations of elliptic fibre bundles in positive characteristic Deformations of elliptic fibre bundles in positive characteristic

2010-05-12

arxiv.org/abs/1005.2142v3

Mathematics

Algebraic Geometry

Many typos fixed (thanks to the referee). Minor improvements in presentation

Scientific paper

We study deformation theory of elliptic fibre bundles over curves in positive characteristics. As applications, we give examples of non-liftable elliptic surfaces in charactertic two and three, which answers a question of Katsura and Ueno. Also, we construct a class of elliptic fibrations, whose liftability is equivalent to a conjecture of F. Oort concerning the liftability of automorphisms of curves. Finally, we classify deformations of bielliptic surfaces.

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