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- W2913779495 abstract "We derive a precise asymptotic expansion of the complete K{a}hler-Einstein metric on the punctured Riemann sphere with three or more omitting points. By using Schwarzian derivative, we prove that the coefficients of the expansion are polynomials on the two parameters which are uniquely determined by the omitting points. Futhermore, we use the modular form and Schwarzian derivative to explicitly determine the coefficients in the expansion of the complete K{a}hler-Einstein metric for punctured Riemann sphere with $3, 4, 6$ or $12$ omitting points." @default.
- W2913779495 created "2019-02-21" @default.
- W2913779495 creator A5091835178 @default.
- W2913779495 date "2019-01-20" @default.
- W2913779495 modified "2023-10-16" @default.
- W2913779495 title "Hyperbolic Metric, Punctured Riemann Sphere and Modular Functions" @default.
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- W2913779495 doi "https://doi.org/10.48550/arxiv.1901.06761" @default.
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