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arXiv · 1912.10376

Logarithmic Bergman kernel and Conditional expectation of Gaussian holomorphic fields

Jingzhou Sun
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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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Jingzhou Sun. 2019-12-22. Logarithmic Bergman kernel and Conditional expectation of Gaussian holomorphic fields. https://arxiv.org/abs/1912.10376

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