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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.10346 |
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| _version_ | 1866915108083466240 |
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| author | Boureau, Paul |
| author_facet | Boureau, Paul |
| contents | We prove that Hopf manifolds admit holomorphic $(G,X)$-structures, extending to any dimension a result of McKay and Pokrovskiy. For this, we revisit Guysinsky-Katok's group of invertible sub-resonant polynomials, and Bertheloot's approach of Poincaré-Dulac normal form theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_10346 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Normal forms and geometric structures on Hopf manifolds Boureau, Paul Complex Variables We prove that Hopf manifolds admit holomorphic $(G,X)$-structures, extending to any dimension a result of McKay and Pokrovskiy. For this, we revisit Guysinsky-Katok's group of invertible sub-resonant polynomials, and Bertheloot's approach of Poincaré-Dulac normal form theory. |
| title | Normal forms and geometric structures on Hopf manifolds |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2501.10346 |