Dynamics of symmetric holomorphic maps on projective spaces
Dynamical Systems
2018-03-29 v1
Abstract
We consider complex dynamics of a critically finite holomorphic map from P^k to P^k, which has symmetries associated with the symmetric group S_{k+2} acting on P^k, for each k \ge 1. The Fatou set of each map of this family consists of attractive basins of superattracting points. Each map of this family satisfies Axiom A.
Keywords
Cite
@article{arxiv.0707.3496,
title = {Dynamics of symmetric holomorphic maps on projective spaces},
author = {Kohei Ueno},
journal= {arXiv preprint arXiv:0707.3496},
year = {2018}
}
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12 pages