On log del Pezzo surfaces in large characteristic

Abstract

We show that any Kawamata log terminal del Pezzo surface over an algebraically closed field of large characteristic is globally F-regular or it admits a log resolution which is liftable to characteristic zero. As a consequence, we prove the Kawamata-Viehweg vanishing theorem for klt del Pezzo surfaces of large characteristic.

v2: final version. To appear in Compositio Mathematica

References in corpus (1)

• On Strongly $F$-Regular Inversion of Adjunction

Cited by in corpus (2)

• On del Pezzo fibrations in positive characteristic
• Bounding geometrically integral del Pezzo surfaces