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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2503.09322 |
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| _version_ | 1866915194587840512 |
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| author | Sykora, Andreas |
| author_facet | Sykora, Andreas |
| contents | We calculate the weighted Bergman kernel on a complex domain with a weight of the form $ρ=e^{-αϕ}μg$, where $α$ is a positive real number, $ϕ$ is a Kähler potential, g is the determinant of the corresponding Kähler metric and $μ$ is a real-valued positive function. Several $\star$-products related to the Bergman kernel are determined. Explicit formulas are provided up to first order. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_09322 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Weighted Bergman kernels and $\star$-products Sykora, Andreas Complex Variables Mathematical Physics We calculate the weighted Bergman kernel on a complex domain with a weight of the form $ρ=e^{-αϕ}μg$, where $α$ is a positive real number, $ϕ$ is a Kähler potential, g is the determinant of the corresponding Kähler metric and $μ$ is a real-valued positive function. Several $\star$-products related to the Bergman kernel are determined. Explicit formulas are provided up to first order. |
| title | Weighted Bergman kernels and $\star$-products |
| topic | Complex Variables Mathematical Physics |
| url | https://arxiv.org/abs/2503.09322 |