Kawamata-Viehweg Vanishing Theorem for del Pezzo Surfaces over imperfect fields in characteristic $p>3$

Abstract

In this article we prove that the Kawamata-Viehweg vanishing theorem holds for regular del Pezzo surfaces over imperfect ground fields of characteristic $p>3$.

arXiv commentMinor changes. Final version. To appear in the Osaka Journal of Mathematics

References in corpus (1)

• Vanishing on toric surfaces

Cited by in corpus (2)

• On del Pezzo fibrations in positive characteristic
• Boundedness of regular del Pezzo surfaces over imperfect fields