Partial holomorphic semiconjugacies between rational functions
Dynamical Systems
2010-08-30 v1
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.
Cite
@article{arxiv.1008.4670,
title = {Partial holomorphic semiconjugacies between rational functions},
author = {Vladlen Timorin},
journal= {arXiv preprint arXiv:1008.4670},
year = {2010}
}
Comments
20 pages