English

Estimations of the Bergman kernel of the punctured disk

Complex Variables 2019-04-02 v2 Differential Geometry

Abstract

Using the techniques developed in \cite{SunSun}, we give estimations of the Bergman kernel of the punctured disk with the standard complete Poincar\'{e} metric. As an application, we improve the result of \cite{AMM} on the Bergman kernels of punctured Riemann surfaces near singularities.

Keywords

Cite

@article{arxiv.1706.01018,
  title  = {Estimations of the Bergman kernel of the punctured disk},
  author = {Jingzhou Sun},
  journal= {arXiv preprint arXiv:1706.01018},
  year   = {2019}
}

Comments

21 pages, 1 figure