On rational homology projective planes with quotient singularities of small indices

Woohyeok Jo; Jongil Park; Kyungbae Park

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arXiv · 2410.22708

On rational homology projective planes with quotient singularities of small indices

Woohyeok Jo·Jongil Park·Kyungbae Park

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Abstract

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.

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Woohyeok Jo, Jongil Park, Kyungbae Park. 2024-10-30. On rational homology projective planes with quotient singularities of small indices. https://arxiv.org/abs/2410.22708

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