FINITENESS OF COMMUTABLE MAPS OF BOUNDED DEGREE

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초록

In this paper, we study the relation between two dynamical systems (V, f) and (V, g) with fog = gof. As an application, we show that an endomorphism (respectively a polynomial map with Zariski dense, of bounded Preper(f)) has only finitely many endomorphisms (respectively polynomial maps) of bounded degree which are commutable with f.

키워드

heightpreperiodic pointendomorphismpolynomial mapdynamical systemcommutable mapsREGULAR AUTOMORPHISMSCANONICAL HEIGHTSMORPHISMSENDOMORPHISMSVARIETIESDYNAMICSSPACE
제목
FINITENESS OF COMMUTABLE MAPS OF BOUNDED DEGREE
저자
Lee, Chong GyuYe, Hexi
DOI
10.4134/BKMS.2015.52.1.045
발행일
2015-01
유형
Article
저널명
대한수학회보
52
1
페이지
45 ~ 56