Strongly liftable schemes and the Kawamata-Viehweg vanishing in the positive characteristic
- Autores: Qihong Xie
- Localización: Mathematical research letters, ISSN 1073-2780, Vol. 17, Nº 2-3, 2010, págs. 563-572
- Idioma: inglés
- DOI: 10.4310/mrl.2010.v17.n3.a13
- Enlaces
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Resumen
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 $W_2(k)$. 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.
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