Suita conjecture for a punctured torus
arXiv:1603.09118 · doi:10.1007/978-3-319-48812-7_25
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.