08/07/2022, 09:03 AM
No way you have polynomial solutions to this. I understand implicit solutions, no way you get a polynomial solution. Or "for most polynomial sets" you don't have polynomial solutions. If you do have solutions then first of all, bo is right (map a common fixed point between all three functions (A,B,C map \(\widehat{\mathbb{C}}\) to itself polynomially), this is just done from a change of variables). Take the Schroder coordinate and compare the \(A,B,C\) solutions based on their multipliers. You're done.
God knows when this is polynomial. But bo is right to look at the Schroder coordinate.
God knows when this is polynomial. But bo is right to look at the Schroder coordinate.