On log del Pezzo surfaces in large characteristic-Reference-Cited by-同舟云学术

On log del Pezzo surfaces in large characteristic

Published:2017-03-08 Issue:4 Volume:153 Page:820-850
ISSN:0010-437X
Container-title:Compositio Mathematica
language:en
Short-container-title:Compositio Math.

Author:

Cascini Paolo,Tanaka Hiromu,Witaszek Jakub

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 lifts to characteristic zero. As a consequence, we prove the Kawamata–Viehweg vanishing theorem for klt del Pezzo surfaces of large characteristic.

Publisher

Wiley

Subject

Algebra and Number Theory

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