Ascending chain condition for log canonical thresholds and termination of log flips

被引：40

作者：

Birkar, Caucher ^{[1
]}

机构：

[1] Ctr Math Sci, Dept Pure Math & Math Stat, Cambridge CB3 0WB, England

来源：

DUKE MATHEMATICAL JOURNAL | 2007年 / 136卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

D O I：

10.1215/S0012-7094-07-13615-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the ascending chain condition (ACC) for log canonical (lc) thresholds in dimension d, existence of log flips in dimension d, and the log minimal model program (LMMP) in dimension d - 1 imply termination of any sequence of log flips starting with a d-dimensional effective lc pair and also imply termination of flops in dimension d. In particular, the latter terminations in dimension 4 follow from the Alexecv-Borisov conjecture in dimension 3.

引用

页码：173 / 180

页数：8

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