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Logarithmic Bergman kernel and Conditional expectation of Gaussian holomorphic fields
Published 22 Dec 2019 in math.CV and math.AG | (1912.10376v1)
Abstract: We prove the asymptotic of the logarithmic Bergman kernel. And as an application, we calculate the conditional expectation of density of zeros of Gaussian random sections of powers of a positive line bundle that vanish along a fixed smooth subvariety.
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