## Duke Mathematical Journal

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

#### Abstract

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

#### Article information

Source
Duke Math. J., Volume 152, Number 1 (2010), 93-114.

Dates
First available in Project Euclid: 11 March 2010

https://projecteuclid.org/euclid.dmj/1268317524

Digital Object Identifier
doi:10.1215/00127094-2010-008

Mathematical Reviews number (MathSciNet)
MR2643057

Zentralblatt MATH identifier
1189.14044

#### Citation

De Fernex, Tommaso; Ein, Lawrence; Mustaţă, Mircea. Shokurov's ACC conjecture for log canonical thresholds on smooth varieties. Duke Math. J. 152 (2010), no. 1, 93--114. doi:10.1215/00127094-2010-008. https://projecteuclid.org/euclid.dmj/1268317524

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