Accessory Parameters for Four-Punctured Spheres

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2022
• Main Author: Bogo, Gabriele
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2022
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211521
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Accessory Parameters for Four-Punctured Spheres. Gabriele Bogo. SIGMA 18 (2022), 024, 20 pages

We study the accessory parameter problem for four-punctured spheres from the point of view of modular forms. The value of the accessory parameter giving the uniformization is characterized as the unique zero of a system of equations. This gives an effective method to compute the uniformizing differe...