Compactifications of C^n and the complex projective space
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929698587541504 |
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| author | Peternell, Thomas |
| author_facet | Peternell, Thomas |
| contents | We show that the complex projective space is the only projective manifold compactifying $\mathbb{C}^n$ by a smooth connected hypersurface, provided $n$ is even. In the odd dimensional case we give some partial results. The case when $n \equiv 1 $ mod $4$ has now been settled by Ping Li. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_07207 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Compactifications of C^n and the complex projective space Peternell, Thomas Algebraic Geometry Complex Variables 14M27, 32J05 We show that the complex projective space is the only projective manifold compactifying $\mathbb{C}^n$ by a smooth connected hypersurface, provided $n$ is even. In the odd dimensional case we give some partial results. The case when $n \equiv 1 $ mod $4$ has now been settled by Ping Li. |
| title | Compactifications of C^n and the complex projective space |
| topic | Algebraic Geometry Complex Variables 14M27, 32J05 |
| url | https://arxiv.org/abs/2410.07207 |