Hyperbolic metric, punctured Riemann sphere, and modular functions

DOI10.1090/tran/8175zbMath1461.30103arXiv1901.06761OpenAlexW3018482306WikidataQ115545711 ScholiaQ115545711MaRDI QIDQ5147438

Junqing Qian

Publication date: 26 January 2021

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.06761

zbMATH Keywords

asymptotic expansioncomplete Kähler-Einstein metricpunctured Riemann sphere

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Kähler-Einstein manifolds (32Q20)

Related Items (1)

Asymptotic expansions of complete Kähler-Einstein metrics with finite volume on quasi-projective manifolds

Cites Work

• Asymptotics of complete Kähler metrics of finite volume on quasiprojective manifolds
• The Kobayashi-Royden metric on punctured spheres
• Higher canonical asymptotics Kähler-Einstein metrics on quasi-projective manifolds
• Asymptotics of Kähler-Einstein metrics on quasi-projective manifolds and an extension theorem on holomorphic maps
• On the smooth compactification of Siegel spaces
• Fuchsian groups, automorphic functions and Schwarzians
• Torsion-free genus zero congruence subgroups of \(\text{PSL}_2(\mathbb R)\)
• On boundaries of Teichmüller spaces and on Kleinian groups. I
• Complex-analytic properties of certain Zariski open sets on algebraic varieties
• The geometry on smooth toroidal compactifications of Siegel varieties
• Modular Subgroups, Forms, Curves and Surfaces
• Accessory Parameters for Punctured Spheres
• Invariant metrics on negatively pinched complete Kähler manifolds
• Uniformization, Moduli, and Kleinian Groups†
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