Asymptotic Normality of Divisors of Random Holomorphic Sections on Non-compact Complex Manifolds
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866909010744049664 |
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| author | Bojnik, Afrim Günyüz, Ozan |
| author_facet | Bojnik, Afrim Günyüz, Ozan |
| contents | We prove a central limit theorem for smooth linear statistics related to the zero divisors of Gaussian i.i.d. centered holomorphic sections of tensor powers of a Hermitian holomorphic line bundle over a non-compact Hermitian manifold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_04106 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Asymptotic Normality of Divisors of Random Holomorphic Sections on Non-compact Complex Manifolds Bojnik, Afrim Günyüz, Ozan Complex Variables Differential Geometry Probability We prove a central limit theorem for smooth linear statistics related to the zero divisors of Gaussian i.i.d. centered holomorphic sections of tensor powers of a Hermitian holomorphic line bundle over a non-compact Hermitian manifold. |
| title | Asymptotic Normality of Divisors of Random Holomorphic Sections on Non-compact Complex Manifolds |
| topic | Complex Variables Differential Geometry Probability |
| url | https://arxiv.org/abs/2501.04106 |