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Bibliographic Details
Main Authors:	Jo, Woohyeok, Park, Jongil, Park, Kyungbae
Format:	Preprint
Published:	2024
Subjects:	Geometric Topology Algebraic Geometry 14J17, 14J25, 32S25
Online Access:	https://arxiv.org/abs/2410.22708
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In this article, we study the effects of topological and smooth obstructions on the existence of rational homology complex projective planes that admit quotient singularities of small indices. In particular, we provide a classification of the types of quotient singularities that can be realized on rational homology complex projective planes with indices up to three, whose smooth loci have trivial first integral homology group.