Lifting fibrations on algebraic surfaces to characteristic zero

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2005

Author

Kaya, Celalettin

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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.

Subject Keywords

Algebraic geometry.

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http://etd.lib.metu.edu.tr/upload/12605861/index.pdf
https://hdl.handle.net/11511/14828

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Graduate School of Natural and Applied Sciences, Thesis

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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.