Asymptotic behavior of the Bergman kernel and associated invariants in weakly pseudoconvex domains
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915737346506752 |
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| author | Van Thu, Ninh |
| author_facet | Van Thu, Ninh |
| contents | In this paper, we present an explicit description for the boundary behavior of the Bergman kernel function, the Bergman metric, and the associated curvatures along certain sequences converging to an $h$-extendible boundary point. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_00301 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Asymptotic behavior of the Bergman kernel and associated invariants in weakly pseudoconvex domains Van Thu, Ninh Complex Variables Primary 32H02, Secondary 32T15, 32M05 In this paper, we present an explicit description for the boundary behavior of the Bergman kernel function, the Bergman metric, and the associated curvatures along certain sequences converging to an $h$-extendible boundary point. |
| title | Asymptotic behavior of the Bergman kernel and associated invariants in weakly pseudoconvex domains |
| topic | Complex Variables Primary 32H02, Secondary 32T15, 32M05 |
| url | https://arxiv.org/abs/2509.00301 |