Asymptotic Normality of Divisors of Random Holomorphic Sections on Non-compact Complex Manifolds

Afrim Bojnik; Ozan Günyüz

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arXiv · 2501.04106

Asymptotic Normality of Divisors of Random Holomorphic Sections on Non-compact Complex Manifolds

Afrim Bojnik·Ozan Günyüz

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Abstract

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.

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Afrim Bojnik, Ozan Günyüz. 2025-01-07. Asymptotic Normality of Divisors of Random Holomorphic Sections on Non-compact Complex Manifolds. https://arxiv.org/abs/2501.04106

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