Quotients of the holomorphic 2-ball and the turnover
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866912322551808000 |
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| author | Botós, Hugo C. Grossi, Carlos H. |
| author_facet | Botós, Hugo C. Grossi, Carlos H. |
| contents | We construct two-dimensional families of complex hyperbolic structures on disc orbibundles over the sphere with three cone points. This contrasts with the previously known examples of the same type, which are locally rigid. In particular, we obtain examples of complex hyperbolic structures on trivial and cotangent disc bundles over closed Riemann surfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2109_08753 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Quotients of the holomorphic 2-ball and the turnover Botós, Hugo C. Grossi, Carlos H. Geometric Topology Differential Geometry 57S30 (Primary), 51M10, 57M50, 57R18 (Secondary) We construct two-dimensional families of complex hyperbolic structures on disc orbibundles over the sphere with three cone points. This contrasts with the previously known examples of the same type, which are locally rigid. In particular, we obtain examples of complex hyperbolic structures on trivial and cotangent disc bundles over closed Riemann surfaces. |
| title | Quotients of the holomorphic 2-ball and the turnover |
| topic | Geometric Topology Differential Geometry 57S30 (Primary), 51M10, 57M50, 57R18 (Secondary) |
| url | https://arxiv.org/abs/2109.08753 |