Counterexamples to the Kawamata-Viehweg Vanishing on Ruled Surfaces in Positive Characteristic

Details Counterexamples to the Kawamata-Viehweg Vanishing on Ruled Surfaces in Positive Characteristic Counterexamples to the Kawamata-Viehweg Vanishing on Ruled Surfaces in Positive Characteristic

2007-02-19

arxiv.org/abs/math/0702554v7

Mathematics

Algebraic Geometry

15 pages, final version

Scientific paper

We give counterexamples to the Kawamata-Viehweg vanishing theorem on ruled
surfaces in positive characteristic, and prove that if there is a
counterexample to the Kawamata-Viehweg vanishing theorem on a geometrically
ruled surface f:X-->C, then either C is a Tango curve or all of sections of f
are ample.

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