Kawamata-Viehweg Vanishing on Rational Surfaces in Positive Characteristic

Details Kawamata-Viehweg Vanishing on Rational Surfaces in Positive Characteristic Kawamata-Viehweg Vanishing on Rational Surfaces in Positive Characteristic

2007-10-15

arxiv.org/abs/0710.2706v5

Mathematics

Algebraic Geometry

11 pages, final version

Scientific paper

We prove that the Kawamata-Viehweg vanishing theorem holds on rational
surfaces in positive characteristic by means of the lifting property to W_2(k)
of certain log pairs on smooth rational surfaces. As a corollary, the
Kawamata-Viehweg vanishing theorem holds on log del Pezzo surfaces in positive
characteristic.

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