In this thesis, we first summarize the known results about lifting algebraic surfaces in characteristic p &gt / 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.

In this thesis, we study the problem of lifting fibrations on surfaces in characteristic p, to characteristic zero. We restrict ourselves mainly to the case of natural fibrations on surfaces with Kodaira dimension -1 or 0. We determine whether such a fibration lifts to characteristic zero. Then, we try to find the smallest ring over which a lifting is possible. Finally,in some favourable cases, we compare the moduli of liftings of the fibration to the moduli of liftings of the surface under consideration.