Open Access
October, 2014 Algebraic Montgomery-Yang problem: the log del Pezzo surface case
DongSeon HWANG, JongHae KEUM
J. Math. Soc. Japan 66(4): 1073-1089 (October, 2014). DOI: 10.2969/jmsj/06641073

Abstract

We prove that a log del Pezzo surface of Picard number one contains at most $3$ singular points if its smooth locus is simply connected. This establishes the algebraic Montgomery-Yang problem for log del Pezzo surfaces.

Citation

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DongSeon HWANG. JongHae KEUM. "Algebraic Montgomery-Yang problem: the log del Pezzo surface case." J. Math. Soc. Japan 66 (4) 1073 - 1089, October, 2014. https://doi.org/10.2969/jmsj/06641073

Information

Published: October, 2014
First available in Project Euclid: 23 October 2014

zbMATH: 1315.14050
MathSciNet: MR3272591
Digital Object Identifier: 10.2969/jmsj/06641073

Subjects:
Primary: 14J26
Secondary: 14J17 , 14J45

Keywords: log del Pezzo surface , Montgomery-Yang problem , quotient singularity

Rights: Copyright © 2014 Mathematical Society of Japan

Vol.66 • No. 4 • October, 2014
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