A smooth scheme X over a field k of positive characteristic is said to be strongly liftable over W_2(k),if X and all prime divisors on X can be lifted simultaneously over W_2(k).In this paper,the author gives a criter...A smooth scheme X over a field k of positive characteristic is said to be strongly liftable over W_2(k),if X and all prime divisors on X can be lifted simultaneously over W_2(k).In this paper,the author gives a criterion for those cyclic covers over strongly liftable schemes that are still strongly liftable.As a corollary,cyclic covers over projective spaces of dimension at least three are strongly liftable over W_2(k).展开更多
基金supported by the National Natural Science Foundation of China(Nos.11231003,11422101)the Shanghai Center for Mathematical Sciences,Fudan University
文摘A smooth scheme X over a field k of positive characteristic is said to be strongly liftable over W_2(k),if X and all prime divisors on X can be lifted simultaneously over W_2(k).In this paper,the author gives a criterion for those cyclic covers over strongly liftable schemes that are still strongly liftable.As a corollary,cyclic covers over projective spaces of dimension at least three are strongly liftable over W_2(k).
