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
Duke Math. J.
152(1):
93-114
(15 March 2010).
DOI: 10.1215/00127094-2010-008
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