On the problem of lifting fibrations on algebraic surfaces

Kaya, Celalettin
In this thesis, we first summarize the known results about lifting algebraic surfaces in characteristic p > 0 to characteristic zero, and then we study lifting fibrations on these surfaces to characteristic zero. We prove that fibrations on ruled surfaces, the natural fibration on Enriques surfaces of classical type, the induced fibration on K3-surfaces covering these types of Enriques surfaces, and fibrations on certain hyperelliptic and quasi-hyperelliptic surfaces lift. We also obtain some fragmentary results concerning the smooth isotrivial fibrations and the fibrations on surfaces of Kodaira dimension 1.
Citation Formats
C. Kaya, “On the problem of lifting fibrations on algebraic surfaces,” Ph.D. - Doctoral Program, Middle East Technical University, 2010.