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Equidistribution of Zeros of Random Holomorphic Sections for Moderate Measures

Complex Variables 2016-05-18 v3

Abstract

We establish an equidistribution theorem for the zeros of random holomorphic sections of high powers of a positive holomorphic line bundle. The equidistribution is associated with a family of singular moderate measures. We also give a convergence speed for the equidistribution.

Keywords

Cite

@article{arxiv.1505.02564,
  title  = {Equidistribution of Zeros of Random Holomorphic Sections for Moderate Measures},
  author = {Guokuan Shao},
  journal= {arXiv preprint arXiv:1505.02564},
  year   = {2016}
}

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18 pages