Accessory parameters for four-punctured spheres

DOI10.3842/SIGMA.2022.024zbMath1486.30117arXiv2004.02971MaRDI QIDQ2120871

Gabriele Bogo

Publication date: 1 April 2022

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.02971

zbMATH Keywords

modular formsaccessory parametersFuchsian uniformization

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Linear ordinary differential equations and systems in the complex domain (34M03)

Cites Work

• The 1-2-3 of modular forms. Lectures at a summer school in Nordfjordeid, Norway, June 2004
• Projective structures with Fuchsian holonomy
• Algebraic numbers associated to certain punctured spheres
• Uniformization of Riemann surfaces. Revisiting a hundred-year-old theorem. Translated from the French by Robert G. Burns
• LIOUVILLE THEORY: QUANTUM GEOMETRY OF RIEMANN SURFACES
• Differential equations associated with nonarithmetic Fuchsian groups
• On the Uniformization of the n -Punctured Sphere
• ON LIOUVILLE'S EQUATION, ACCESSORY PARAMETERS, AND THE GEOMETRY OF TEICHMÜLLER SPACE FOR RIEMANN SURFACES OF GENUS 0
• Quasiconformal mappings, with applications to differential equations, function theory and topology
• Moduli of Punctured Tori and the Accessory Parameter of Lame's Equation
• Accessory parameters in conformal mapping: exploiting the isomonodromic tau function for Painlevé VI
• Accessory Parameters for Punctured Spheres
• On the Accessory Parameters of a Fuchsian Differential Equation
• Modular Forms
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