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arXiv · 0710.2706

Kawamata-Viehweg Vanishing on Rational Surfaces in Positive Characteristic

Qihong Xie
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Abstract

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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Qihong Xie. 2009-06-17. Kawamata-Viehweg Vanishing on Rational Surfaces in Positive Characteristic. https://arxiv.org/abs/0710.2706

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