Finiteness of commutable maps of bounded degree
Number Theory
2012-03-07 v1 Dynamical Systems
Abstract
In this paper, we study the relation between two dynamical systems (V,f) and (V,g) with f. g = g . f. As an application, we show that an endomorphism (respectively a polynomial map with Zariski dense, of bounded Pre(f) has only finitely many endomorphisms (respectively polynomial maps) of bounded degree which are commutable with f.
Cite
@article{arxiv.1203.1222,
title = {Finiteness of commutable maps of bounded degree},
author = {Chong Gyu Lee and Hexi Ye},
journal= {arXiv preprint arXiv:1203.1222},
year = {2012}
}