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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.22708 |
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| _version_ | 1866929568454017024 |
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| author | Jo, Woohyeok Park, Jongil Park, Kyungbae |
| author_facet | Jo, Woohyeok Park, Jongil Park, Kyungbae |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_22708 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On rational homology projective planes with quotient singularities of small indices Jo, Woohyeok Park, Jongil Park, Kyungbae Geometric Topology Algebraic Geometry 14J17, 14J25, 32S25 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. |
| title | On rational homology projective planes with quotient singularities of small indices |
| topic | Geometric Topology Algebraic Geometry 14J17, 14J25, 32S25 |
| url | https://arxiv.org/abs/2410.22708 |