Compactification of homology cells, Fujita's conjectures and the complex projective space
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866910028375523328 |
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| author | Li, Ping Peternell, Thomas |
| author_facet | Li, Ping Peternell, Thomas |
| contents | We show that a compact Kähler manifold $M$ containing a smooth connected divisor $D$ such that $M \setminus D$ is a homology cell, e.g., contractible, must be projective space with $D$ a hyperplane, provided $\dim M \not \equiv 3 \pmod 4$. This answers conjectures of Fujita in these dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_01072 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Compactification of homology cells, Fujita's conjectures and the complex projective space Li, Ping Peternell, Thomas Algebraic Geometry Differential Geometry 32J05, 14F35, 14F45, 14J70 We show that a compact Kähler manifold $M$ containing a smooth connected divisor $D$ such that $M \setminus D$ is a homology cell, e.g., contractible, must be projective space with $D$ a hyperplane, provided $\dim M \not \equiv 3 \pmod 4$. This answers conjectures of Fujita in these dimensions. |
| title | Compactification of homology cells, Fujita's conjectures and the complex projective space |
| topic | Algebraic Geometry Differential Geometry 32J05, 14F35, 14F45, 14J70 |
| url | https://arxiv.org/abs/2502.01072 |