Holomorphic geometric structures on Hopf manifolds
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866913656645615616 |
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| author | Madera, Matthieu |
| author_facet | Madera, Matthieu |
| contents | We construct integrable holomorphic G-structures and flat holomorphic Cartan geometries on every complex Hopf manifold, without using the normal forms given by the Poincaré-Dulac Theorem. We provide a new proof of the latter using charts adapted with the geometric structures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_11364 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Holomorphic geometric structures on Hopf manifolds Madera, Matthieu Differential Geometry Complex Variables We construct integrable holomorphic G-structures and flat holomorphic Cartan geometries on every complex Hopf manifold, without using the normal forms given by the Poincaré-Dulac Theorem. We provide a new proof of the latter using charts adapted with the geometric structures. |
| title | Holomorphic geometric structures on Hopf manifolds |
| topic | Differential Geometry Complex Variables |
| url | https://arxiv.org/abs/2501.11364 |