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

Published 7 Jan 2025 in math.CV, math.DG, and math.PR | (2501.04106v1)

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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