Asymptotic Tian–Yau–Zelditch expansions on singular Riemann surfaces
نویسندگان
چکیده
In this paper, we give both lower and upper bound estimates of the Bergman kernel for a degeneration of Riemann surfaces with constant curvature −1. As a result, we give a geometric proof of the Riemann–Rock theorem for a singular Riemann surface. Mathematics Subject Classification (2010). Primary 53C55; Secondary 32S30.
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