On log del Pezzo surfaces in large characteristic

被引：22
|
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
收藏
页码：820 / 850
页数：31
相关论文
共 50 条
12345