2009/09/10 by Qihong Xie, Xie, Qihong
Computer Science · Mathematics · #14E30 #14F17 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Polynomial and algebraic computation #math.AG #msc:14E30 #msc:14F17
paper · pdf · doi:10.48550/arxiv.0909.1926
10 pages
openalex publication_date 2009/09/10 · arxiv created 2010/03/02 · arxiv updated 2010/03/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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, we give some concrete examples and properties of strongly liftable schemes. As an application, we prove that the Kawamata-Viehweg vanishing theorem in positive characteristic holds on any normal projective surface which is birational to a strongly liftable surface.