Deformations of elliptic fibre bundles in positive characteristic
Algebraic Geometry
2015-01-14 v3
Abstract
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.
Keywords
Cite
@article{arxiv.1005.2142,
title = {Deformations of elliptic fibre bundles in positive characteristic},
author = {Holger Partsch},
journal= {arXiv preprint arXiv:1005.2142},
year = {2015}
}
Comments
Many typos fixed (thanks to the referee). Minor improvements in presentation