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Log canonical thresholds on Gorenstein canonical del Pezzo surfaces

Part of: Surfaces and higher-dimensional varieties

Published online by Cambridge University Press:  28 October 2010

Jihun Park  and
Joonyeong Won
Jihun Park
Affiliation:
Department of Mathematics, Pohang University of Science Technology (POSTECH), Hyoja-Dong San 31, Nam-Gu, Pohang, 790–784, Gyungbuk, Republic of Korea (wlog@postech.ac.kr; leonwon@postech.ac.kr)
Joonyeong Won
Affiliation:
Department of Mathematics, Pohang University of Science Technology (POSTECH), Hyoja-Dong San 31, Nam-Gu, Pohang, 790–784, Gyungbuk, Republic of Korea (wlog@postech.ac.kr; leonwon@postech.ac.kr)
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Abstract

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We classify all the effective anticanonical divisors on weak del Pezzo surfaces. Through this classification we obtain the smallest number among the log canonical thresholds of effective anticanonical divisors on a given Gorenstein canonical del Pezzo surface.

Keywords

del Pezzo surfaceeffective anticanonical divisorlog canonical threshold

MSC classification

Secondary: 14J26: Rational and ruled surfaces 14J17: Singularities
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 54 , Issue 1 , February 2011 , pp. 187 - 219
Copyright
Copyright © Edinburgh Mathematical Society 2010

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