FINITENESS OF COMMUTABLE MAPS OF BOUNDED DEGREE

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 31 Jan 2015Embargo end date: 01 Jan 2012 English Publisher:The Korean Mathematical SocietyJournal:Bulletin of the Korean Mathematical Society, volume 52, pages 45-56 (issn: 1015-8634,

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Authors: Lee, Chong Gyu; Ye, Hexi;

doi: 10.4134/bkms.2015.52.1.045 , 10.48550/arxiv.1203.1222

arXiv: 1203.1222

FINITENESS OF COMMUTABLE MAPS OF BOUNDED DEGREE

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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.

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Keywords

Mathematics - Number Theory, FOS: Mathematics, Number Theory (math.NT), Dynamical Systems (math.DS), Mathematics - Dynamical Systems, 11C08, 37F10, 37P05, 37P35

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