2 research outputs found
Deformations of elliptic fibre bundles in positive characteristic
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.Comment: Many typos fixed (thanks to the referee). Minor improvements in
presentatio