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arxiv: 1203.1222 · v1 · pith:2YHYGYUVnew · submitted 2012-03-06 · 🧮 math.NT · math.DS

Finiteness of commutable maps of bounded degree

classification 🧮 math.NT math.DS
keywords boundedcommutabledegreemapspolynomialrespectivelyapplicationdense
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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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