On existence of log minimal models II

被引：38

作者：

Birkar, Caucher ^{[1
]}

机构：

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

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2011年 / 658卷

关键词：

D O I：

10.1515/CRELLE.2011.062

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the existence of log minimal models in dimension d essentially implies the LMMP with scaling in dimension d. As a consequence we prove that a weak nonvanishing conjecture in dimension d implies the minimal model conjecture in dimension d.

引用

页码：99 / 113

页数：15

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