Shokurov's ACC conjecture for log canonical thresholds on smooth varieties

Shokurov conjectured that the set of all 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 varie...

Full description

Saved in:
Bibliographic Details
Published in:Duke mathematical journal 2010-03, Vol.152 (1), p.93-114
Main Authors: De Fernex, Tommaso, Ein, Lawrence, Mustaţă, Mircea
Format: Article
Language:English
Subjects:
14B05
14E15
14E30
14H20
14J17
32S20
32S45
32Sxx
58Kxx
extremal rays
Global theory and resolution of singularities [See also 14B05
Minimal model program (Mori theory
Singularities [See also 14E15
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Shokurov conjectured that the set of all 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
ISSN:0012-7094
1547-7398
DOI:10.1215/00127094-2010-008