Estimations of the Bergman kernel of the punctured disk

Abstract

Using the techniques developed in \cite{SunSun}, 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 \cite{AMM} on the Bergman kernels of punctured Riemann surfaces near singularities.

21 pages, 1 figure

References in corpus (1)

• Projective embedding of log Riemann surfaces and K-stability

Cited by in corpus (3)

• Projective embedding of pairs and logarithmic K-stability
• Logarithmic Bergman kernel and Conditional expectation of Gaussian holomorphic fields
• Asymptotics of partial density function vanishing along smooth subvariety