Estimations of the Bergman kernel of the punctured disk

2017/06/04 by Jingzhou Sun, Sun, Jingzhou · 1 citation
Mathematics · #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1706.01018

openalex publication_date 2017/06/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using the techniques developed in \citeSunSun, we give estimations of the Bergman kernel of the punctured disk with the standard complete Poincaré metric. As an application, we improve the result of \citeAMM on the Bergman kernels of punctured Riemann surfaces near singularities.

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