On Kawamata--Viehweg type vanishing for three dimensional Mori fiber spaces in positive characteristic

Abstract

In this paper, we prove a Kawamata--Viehweg type vanishing theorem for smooth Fano threefolds, canonical del Pezzo surfaces and del Pezzo fibrations in positive characteristic.

arXiv comment21 pages, to appear in Transactions of the American Mathematical Society

References in corpus (3)

• On del Pezzo fibrations in positive characteristic
• The Minimal Model Program for threefolds in characteristic five
• Bogomolov--Sommese type vanishing for globally $F$-regular threefolds

Cited by in corpus (1)

• On singularity types of del Pezzo surfaces with rational double points in positive characteristic