Estimations of the Bergman kernel of the punctured disk
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🧮 math.CV
math.DG
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bergmanpuncturedcitediskestimationskernelapplicationcomplete
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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.
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Cited by 1 Pith paper
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On the Bergman Kernel of complex hyperbolic manifolds
The Bergman kernel on polarized complex hyperbolic manifolds equals a sum over geodesic loops, yielding max/min results and off-diagonal estimates.
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