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Estimations of the Bergman kernel of the punctured disk

Published 4 Jun 2017 in math.CV and math.DG | (1706.01018v2)

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.

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