English

An explicit estimate of the Bergman kernel for positive line bundles

Complex Variables 2021-04-20 v2 Algebraic Geometry Differential Geometry

Abstract

We shall give an explicit estimate of the lower bound of the Bergman kernel associated to a positive line bundle. In the compact Riemann surface case, our result can be seen as an explicit version of Tian's partial C0C^0-estimate.

Keywords

Cite

@article{arxiv.2103.09220,
  title  = {An explicit estimate of the Bergman kernel for positive line bundles},
  author = {Xu Wang},
  journal= {arXiv preprint arXiv:2103.09220},
  year   = {2021}
}

Comments

new version with a new proof that applies to the higher dimensional case