On the Bergman Kernel of complex hyperbolic manifolds
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866910120131166208 |
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| author | Sun, Jingzhou |
| author_facet | Sun, Jingzhou |
| contents | We prove a formula for the Bergman kernel of polarized complex hyperbolic manifolds. The formula expresses the Bergman kernel as a sum over the geodesic loops in the manifold. As an application, we prove a result about the maximum and minimum of the Bergman kernel function. We also prove an estimate of the off-diagonal Bergman kernel. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_16240 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Bergman Kernel of complex hyperbolic manifolds Sun, Jingzhou Differential Geometry Algebraic Geometry Complex Variables 32A25, 30F45 We prove a formula for the Bergman kernel of polarized complex hyperbolic manifolds. The formula expresses the Bergman kernel as a sum over the geodesic loops in the manifold. As an application, we prove a result about the maximum and minimum of the Bergman kernel function. We also prove an estimate of the off-diagonal Bergman kernel. |
| title | On the Bergman Kernel of complex hyperbolic manifolds |
| topic | Differential Geometry Algebraic Geometry Complex Variables 32A25, 30F45 |
| url | https://arxiv.org/abs/2511.16240 |