Algebraic intersection for hyperbolic surfaces
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866909180392112128 |
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| author | Jiang, Manman Pan, Huiping |
| author_facet | Jiang, Manman Pan, Huiping |
| contents | We show that the algebraic intersection form of hyperbolic surfaces of genus $g$ has a minimum in the moduli space and that the minimum grows in the order $(\log g)^{-2}$ in terms of the genus. We also describe the asymptotic behavior of the algebraic intersection form in the moduli space as the homologically systolic length goes to zero. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_15921 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Algebraic intersection for hyperbolic surfaces Jiang, Manman Pan, Huiping Geometric Topology Complex Variables Differential Geometry 30F60, 32G15, 30F45 We show that the algebraic intersection form of hyperbolic surfaces of genus $g$ has a minimum in the moduli space and that the minimum grows in the order $(\log g)^{-2}$ in terms of the genus. We also describe the asymptotic behavior of the algebraic intersection form in the moduli space as the homologically systolic length goes to zero. |
| title | Algebraic intersection for hyperbolic surfaces |
| topic | Geometric Topology Complex Variables Differential Geometry 30F60, 32G15, 30F45 |
| url | https://arxiv.org/abs/2404.15921 |