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VOL. 65 | 2015 $\mathbb{Q}$-homology projective planes with nodes or cusps
JongHae Keum

Editor(s) Jungkai Alfred Chen, Meng Chen, Yujiro Kawamata, JongHae Keum

Abstract

We classify all $\mathbb{Q}$-homology projective planes with $A_1$- or $A_2$-singularities (and with no worse singularities). It turns out that such a surface is isomorphic to a global quotient $X/G$, where $X$ is a fake projective plane or the complex projective plane and $G$ a finite abelian group of bi-holomorphic automorphisms. There are only finitely many such surfaces.

Information

Published: 1 January 2015
First available in Project Euclid: 19 October 2018

zbMATH: 1360.14102
MathSciNet: MR3380780

Digital Object Identifier: 10.2969/aspm/06510143

Subjects:
Primary: 14J26, 14J29

Rights: Copyright © 2015 Mathematical Society of Japan

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