SHOKUROV'S ACC CONJECTURE FOR LOG CANONICAL THRESHOLDS ON SMOOTH VARIETIES

被引：49

作者：

de Fernex, Tommaso ^{[1
]}

Ein, Lawrence ^{[2
]}

Mustata, Mircea ^{[3
]}

机构：

[1] Univ Utah, Dept Math, Salt Lake City, UT 84112 USA

[2] Univ Illinois, Dept Math, Chicago, IL 60607 USA

[3] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

来源：

DUKE MATHEMATICAL JOURNAL | 2010年 / 152卷 / 01期

基金：

美国国家科学基金会;

关键词：

ADJUNCTION; INVERSION;

D O I：

10.1215/00127094-2010-008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Shokurov conjectured that the set of till log canonical thresholds on varieties of bounded dimension satisfies the ascending chain condition In this article we prove that the conjecture holds for log canonical thresholds on smooth varieties and, more generally. on locally complete intersection varieties and on varieties with quotient singularities.

引用

页码：93 / 114

页数：22

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