Asymptotic Normality of Divisors of Random Holomorphic Sections on Non-compact Complex Manifolds
Complex Variables
2026-05-05 v2 Differential Geometry
Probability
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.
Keywords
Cite
@article{arxiv.2501.04106,
title = {Asymptotic Normality of Divisors of Random Holomorphic Sections on Non-compact Complex Manifolds},
author = {Afrim Bojnik and Ozan Günyüz},
journal= {arXiv preprint arXiv:2501.04106},
year = {2026}
}
Comments
11 pages. One minor change in Section 1