Logarithmic Bergman kernel and Conditional expectation of Gaussian holomorphic fields
Complex Variables
2019-12-24 v1 Algebraic Geometry
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.
Cite
@article{arxiv.1912.10376,
title = {Logarithmic Bergman kernel and Conditional expectation of Gaussian holomorphic fields},
author = {Jingzhou Sun},
journal= {arXiv preprint arXiv:1912.10376},
year = {2019}
}
Comments
17 pages