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arXiv:0710.2706 [math.AG]AbstractReferencesReviewsResources

Kawamata-Viehweg Vanishing on Rational Surfaces in Positive Characteristic

Qihong Xie

Published 2007-10-15, updated 2009-06-17Version 5

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.

Comments: 11 pages, final version
Categories: math.AG
Subjects: 14F17, 14J26, 14E30
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