Finiteness of commutable maps of bounded degree

Details Finiteness of commutable maps of bounded degree Finiteness of commutable maps of bounded degree

2012-03-06

arxiv.org/abs/1203.1222v1

Mathematics

Number Theory

Scientific paper

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.

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