Effective Non-vanishing for Algebraic Surfaces in Positive Characteristic

Details Effective Non-vanishing for Algebraic Surfaces in Positive Characteristic Effective Non-vanishing for Algebraic Surfaces in Positive Characteristic

2005-09-05

arxiv.org/abs/math/0509086v4

Mathematics

Algebraic Geometry

17 pages

Scientific paper

We give a theorem on the effective non-vanishing problem for algebraic
surfaces in positive characteristic. For the Kawamata-Viehweg vanishing, the
logarithmic Kollar vanishing and the logarithmic semipositivity, we give their
counterexamples on ruled surfaces in positive characteristic.

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