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Suita conjecture for a punctured torus

Published 30 Mar 2016 in math.CV | (1603.09118v2)

Abstract: For a once-punctured complex torus, we compare the Bergman kernel and the fundamental metric, by constructing explicitly the Evans-Selberg potential and discussing its asymptotic behaviors. This work aims to generalize the Suita type results to potential-theoretically parabolic Riemann surfaces.

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