Lifting fibrations on algebraic surfaces to characteristic zero

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2005
Kaya, Celalettin
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.

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Citation Formats
C. Kaya, “Lifting fibrations on algebraic surfaces to characteristic zero,” M.S. - Master of Science, Middle East Technical University, 2005.