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Strongly Liftable Schemes and the Kawamata-Viehweg Vanishing in Positive Characteristic I
Xie Qihong *
School of Mathematical Sciences, Fudan University, ShangHai 200433
*Correspondence author
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Funding: National Natural Science Foundation of China（No.10901037）, Ph.D.Programs Foundation of Ministry of Education of China（No.20090071120004）
Opened online:20 December 2012
Accepted by: none
Citation: Xie Qihong.Strongly Liftable Schemes and the Kawamata-Viehweg Vanishing in Positive Characteristic I[OL]. [20 December 2012] http://en.paper.edu.cn/en_releasepaper/content/4503770
 
 
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). Some concrete examples and properties of strongly liftable schemes are given in this paper. As an application, the author proves that theKawamata-Viehweg vanishing theorem in positive characteristic holds on any normal projective surface which is birational to a strongly liftable surface.
Keywords:Algebraic geometry; positive characteristic; strongly liftable scheme; Kawamata-Viehweg vanishing theorem
 
 
 

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