The rigidity of dimension estimate for holomorphic functions on Kähler manifolds
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912981095284736 |
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| author | Chu, Jianchun Deng, Jie Hao, Zihang Li, Jian |
| author_facet | Chu, Jianchun Deng, Jie Hao, Zihang Li, Jian |
| contents | In this paper, we obtain the optimal rigidity of dimension estimate for holomorphic functions with polynomial growth on Kähler manifolds with non-negative holomorphic bisectional curvature. There is a specific gap between the largest and the second largest dimension. We also determine the optimal dimension that ensures the maximal volume growth which implies the manifold is biholomorphic to the complex Euclidean space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_14371 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The rigidity of dimension estimate for holomorphic functions on Kähler manifolds Chu, Jianchun Deng, Jie Hao, Zihang Li, Jian Differential Geometry In this paper, we obtain the optimal rigidity of dimension estimate for holomorphic functions with polynomial growth on Kähler manifolds with non-negative holomorphic bisectional curvature. There is a specific gap between the largest and the second largest dimension. We also determine the optimal dimension that ensures the maximal volume growth which implies the manifold is biholomorphic to the complex Euclidean space. |
| title | The rigidity of dimension estimate for holomorphic functions on Kähler manifolds |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2510.14371 |