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On a normality condition for the iterates of birational maps of $\mathbb{P}^{k}$

Published online by Cambridge University Press:  08 March 2005

KAZUTOSHI MAEGAWA
KAZUTOSHI MAEGAWA
Affiliation:
Graduate School of Human and Environmental Studies, Kyoto University, Yoshida Nihonmatsu-cho, Sakyo-ku, Kyoto, Japan, 606-8501 (e-mail: km@math.h.kyoto-u.ac.jp)
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Abstract

We will give a sufficient condition for points in a locally defined analytic subvariety V in $\mathbb{P}^k$ to be contained in the Fatou set in V for a birational self-map of degree ${\ge} 2$ of $\mathbb{P}^k$. We will consider its applications.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 25 , Issue 3 , June 2005 , pp. 913 - 920
Copyright
2005 Cambridge University Press

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