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1. Strongly Liftable Schemes and the Kawamata-Viehweg Vanishing in Positive Characteristic II | |||
Xie Qihong | |||
Mathematics 13 December 2012 | |||
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Abstract:A smooth scheme X over a field k of positive characteristic is said to be strongly liftable, if X and all prime divisors on X can be lifted simultaneously over W2(k). In this paper, first the author proves that smooth toric varieties are strongly liftable, hence the Kawamata-Viehweg vanishing theorem holds for smooth projective toric varieties. Second, the author proves the Kawamata-Viehweg vanishing theorem for normal projective surfaces which are birational to a strongly liftable smooth projective surface. Finally, the author deduces the cyclic cover trick over W2(k), which can be used to construct a large class ofliftable smooth projective varieties. | |||
TO cite this article:Xie Qihong. Strongly Liftable Schemes and the Kawamata-Viehweg Vanishing in Positive Characteristic II[OL].[13 December 2012] http://en.paper.edu.cn/en_releasepaper/content/4503779 |
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