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Log canonical thresholds of divisors on Fano manifolds of Picard number 1

Published online by Cambridge University Press:  19 January 2007

Jun-Muk Hwang
Jun-Muk Hwang
Affiliation:
Korea Institute for Advanced Study, 207-43 Cheongryangri-dong, Seoul 130-722, Koreajmhwang@kias.re.kr
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Abstract

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Using a result of E. Viehweg, we study the behavior of the log canonical thresholds of divisors along free rational curves. This leads to a bound on the log canonical thresholds of divisors in terms of the degree of free rational curves on Fano manifolds of Picard number 1.

Keywords

log canonical thresholdsmultiplier ideal sheaffree rational curve14J45
Type
Research Article
Information
Compositio Mathematica , Volume 143 , Issue 1 , January 2007 , pp. 89 - 94
Copyright
Foundation Compositio Mathematica 2007