On log del Pezzo surfaces in large characteristic

被引：23

作者：

Cascini, Paolo ^{[1
]}

Tanaka, Hiromu ^{[1
]}

Witaszek, Jakub ^{[1
]}

机构：

[1] Imperial Coll, Dept Math, 180 Queens Gate, London SW7 2AZ, England

来源：

COMPOSITIO MATHEMATICA | 2017年 / 153卷 / 04期

基金：

英国工程与自然科学研究理事会;

关键词：

log del Pezzo surface; F-singularities; Kawamata-Viehweg vanishing; positive characteristic;

D O I：

10.1112/s0010437x16008265

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：820 / 850

页数：31

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