Open Access
January, 2017 Classification of log del Pezzo surfaces of index three
Kento FUJITA, Kazunori YASUTAKE
J. Math. Soc. Japan 69(1): 163-225 (January, 2017). DOI: 10.2969/jmsj/06910163

Abstract

A normal projective non-Gorenstein log-terminal surface $S$ is called a log del Pezzo surface of index three if the three-times of the anti-canonical divisor $-3K_S$ is an ample Cartier divisor. We classify all log del Pezzo surfaces of index three. The technique for the classification is based on the argument of Nakayama.

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Kento FUJITA. Kazunori YASUTAKE. "Classification of log del Pezzo surfaces of index three." J. Math. Soc. Japan 69 (1) 163 - 225, January, 2017. https://doi.org/10.2969/jmsj/06910163

Information

Published: January, 2017
First available in Project Euclid: 18 January 2017

zbMATH: 1375.14121
MathSciNet: MR3597552
Digital Object Identifier: 10.2969/jmsj/06910163

Subjects:
Primary: 14J26
Secondary: 14E30

Keywords: del Pezzo surface , extremal ray , rational surface

Rights: Copyright © 2017 Mathematical Society of Japan

Vol.69 • No. 1 • January, 2017
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