摘要翻译：
利用光滑有理曲面上某些对数对W2(k)的提升性质，证明了正特征有理曲面上的Kawamata-Viehweg消失定理成立。作为推论，Kawamata-Viehweg消失定理在对数del Pezzo曲面上具有正特征。
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英文标题：
《Kawamata-Viehweg Vanishing on Rational Surfaces in Positive
  Characteristic》
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作者：
Qihong Xie
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最新提交年份：
2009
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分类信息：

一级分类：Mathematics        数学
二级分类：Algebraic Geometry        代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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英文摘要：
  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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PDF链接：
https://arxiv.org/pdf/0710.2706