Log minimal models according to Shokurov

被引：5

作者：

Birkar, Caucher ^{[1
]}

机构：

[1] Univ Cambridge, Ctr Math Sci, DPMMS, Cambridge CB3 0WB, England

来源：

ALGEBRA & NUMBER THEORY | 2009年 / 3卷 / 08期

关键词：

minimal models; Mori fibre spaces; 4-FOLD CANONICAL FLIPS; TERMINATION;

D O I：

10.2140/ant.2009.3.951

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Following Shokurov's ideas, we give a short proof of the following klt version of his result: termination of terminal log flips in dimension d implies that any klt pair of dimension d has a log minimal model or a Mori fibre space. Thus, in particular, any klt pair of dimension 4 has a log minimal model or a Mori fibre space.

引用

页码：951 / 958

页数：8

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