Cyclic covers over strongly liftable schemes

Abstract

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).

Keywords

Cyclic cover / Strongly liftable scheme / Positive characteristic

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