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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/2408.09625 |
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| _version_ | 1866917755987427328 |
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| author | León, Víctor Scárdua, Bruno |
| author_facet | León, Víctor Scárdua, Bruno |
| contents | In this paper we study holomorphic actions of the complex multiplicative group on complex manifolds around a singular (fixed) point. We prove linearization results for the germ of action and also for the whole action under some conditions on the manifold. This can be seen as a follow-up to previous works of M. Suzuki and other authors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_09625 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On holomorphic $\mathbb{C}^*$-actions León, Víctor Scárdua, Bruno Complex Variables In this paper we study holomorphic actions of the complex multiplicative group on complex manifolds around a singular (fixed) point. We prove linearization results for the germ of action and also for the whole action under some conditions on the manifold. This can be seen as a follow-up to previous works of M. Suzuki and other authors. |
| title | On holomorphic $\mathbb{C}^*$-actions |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2408.09625 |