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- W1656305087 abstract "Let $M$ be a regular Riemann surface with a metric which has constant scalar curvature $rho$. We give the asymptotic expansion of the sum of the square norm of the sections of the pluricanonical bundles $K_{M}^{m}$. That is, [sum_{i=0}^{d_{m}-1}|S_{i}(x_{0})|_{h_{m}}^{2} sim m(1+frac{rho}{2 m})+Oleft(e^{-frac{(log m)^{2}}{8}}right),] where ${S_{0},cdots,S_{d_{m}-1}}$ is an orthonormal basis for $H^{0}(M, K_{M}^{m})$ for sufficiently large $m$." @default.
- W1656305087 created "2016-06-24" @default.
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- W1656305087 date "2010-01-08" @default.
- W1656305087 modified "2023-09-27" @default.
- W1656305087 title "The asymptotic Tian-Yau-Zelditch expansion on Riemann surfaces with Constant Curvature" @default.
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- W1656305087 doi "https://doi.org/10.11650/tjm.14.2010.331" @default.
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