Partial holomorphic semiconjugacies between rational functions

2010/08/27 by Timorin, Vladlen
#37F10 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1008.4670

Abstract

We establish a general result on the existence of partially defined semiconjugacies between rational functions acting on the Riemann sphere. The semiconjugacies are defined on the complements to at most one-dimensional sets. They are holomorphic in a certain sense.

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