Asymptotic Tian-Yau-Zelditch expansions on singular Riemann surfaces

作者：Liu Chiung Ju^*; Lu Zhiqin

来源：Journal of Fixed Point Theory and Applications, 2011, 10(2): 327-338.

DOI：10.1007/s11784-011-0061-0

• Asymptotic expansion
• singular Riemann surface

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.

• 出版日期2011-12