Algebraic degrees for iterates of meromorphic self-maps of $\P^k$
Complex Variables
2007-05-23 v1 Algebraic Geometry
Abstract
We first introduce the class of quasi-algebraically stable meromorphic maps of This class is strictly larger than that of algebraically stable meromorphic self-maps of Then we prove that all maps in the new class enjoy a recurrent property. In particular, the algebraic degrees for iterates of these maps can be computed and their first dynamical degrees are always algebraic integers.
Keywords
Cite
@article{arxiv.math/0603545,
title = {Algebraic degrees for iterates of meromorphic self-maps of $\P^k$},
author = {Viet-Anh Nguyen},
journal= {arXiv preprint arXiv:math/0603545},
year = {2007}
}
Comments
14 pages. To appear in ``Publicacions Matematiques"