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

Tommaso De Fernex; Lawrence Ein; Mircea Mustaţă

doi:10.1215/00127094-2010-008

15 March 2010 Shokurov's ACC conjecture for log canonical thresholds on smooth varieties

Tommaso De Fernex, Lawrence Ein, Mircea Mustaţă

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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

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Tommaso De Fernex, Lawrence Ein, and Mircea Mustaţă "Shokurov's ACC conjecture for log canonical thresholds on smooth varieties," Duke Mathematical Journal 152(1), 93-114, (15 March 2010). https://doi.org/10.1215/00127094-2010-008

Published: 15 March 2010

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