Higher genus icosahedral Painleve curves

Abstract

We will write down the higher genus algebraic curves supporting icosahedral solutions of the sixth Painleve equation, including the largest (genus seven) curve.

arXiv comment12 pages (actual solutions with icosahedral linear monodromy added)

References in corpus (2)

• Some explicit solutions to the Riemann-Hilbert problem
• Dessins d'Enfants, Their Deformations and Algebraic the Sixth Painlevé and Gauss Hypergeometric Functions