Higher genus icosahedral Painlevé curves

Funk. Ekvac. (Kobe), 50 (2007) 19-32

We will write down the higher genus algebraic curves supporting icosahedral solutions of the sixth Painlevé equation, including the largest (genus seven) curve. This completes the problem of constructing all the icosahedral (and indeed Platonic) solutions of the sixth Painlevé equation.



Remark: Funk. Ekvac. is a mathematics journal based in Kobe, Japan (its title is in Esperanto).