Moduli of punctured tori and the accessory parameter of Lamé’s equation
Moduli of punctured tori and the accessory parameter of Lamé’s equation
To solve the problems of uniformization and moduli for Riemann surfaces, covering spaces and covering mappings must be constructed, and the parameters on which they depend must be determined. When the Riemann surface is a punctured torus this can be done quite explicitly in several ways. The covering mappings are …