Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584991 | Journal of Algebra | 2013 | 12 Pages |
Abstract
A smooth scheme X over a field k of positive characteristic is said to be strongly liftable over W2(k)W2(k), if X and all prime divisors on X can be lifted simultaneously over W2(k)W2(k). In this paper, we first deduce the Kummer covering trick over W2(k)W2(k), which can be used to construct a large class of smooth projective varieties liftable over W2(k)W2(k), and to give a direct proof of the Kawamata–Viehweg vanishing theorem on strongly liftable schemes. Secondly, we generalize almost all of the results in [18] and [19] to the case where everything is considered over W(k)W(k), the ring of Witt vectors of k.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Qihong Xie, Jian Wu,