2017/07/10 by Pakovich, F. · 1 citation
#Dynamical Systems (math.DS) #FOS: Mathematics
paper · doi:10.48550/arxiv.1707.02948
Using dynamical methods we give a new proof of the theorem saying that if A,B,X are rational functions of degree at least two such that A∘ X=X∘ B and \mathbb C(B,X)=\mathbb C(z), then the Galois closure of the field extension \mathbb C(z)/\mathbb C(X) has genus zero or one.