Algebraic degrees for iterates of meromorphic self-maps of Pk.

Nguyên, Viêt-Anh. "Algebraic degrees for iterates of meromorphic self-maps of Pk.." Publicacions Matemàtiques 50.2 (2006): 457-473. <http://eudml.org/doc/41599>.

@article{Nguyên2006,
abstract = {We first introduce the class of quasi-algebraically stable meromorphic maps of Pk. This class is strictly larger than that of algebraically stable meromorphic self-maps of Pk. 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.},
author = {Nguyên, Viêt-Anh},
journal = {Publicacions Matemàtiques},
keywords = {Funciones de varias variables complejas; Función meromorfa; Polinomios; Sistemas dinámicos complejos; quasi-algebraically stable meromorphic maps; recurrent property; first dynamical degrees},
language = {eng},
number = {2},
pages = {457-473},
title = {Algebraic degrees for iterates of meromorphic self-maps of Pk.},
url = {http://eudml.org/doc/41599},
volume = {50},
year = {2006},
}

TY - JOUR
AU - Nguyên, Viêt-Anh
TI - Algebraic degrees for iterates of meromorphic self-maps of Pk.
JO - Publicacions Matemàtiques
PY - 2006
VL - 50
IS - 2
SP - 457
EP - 473
AB - We first introduce the class of quasi-algebraically stable meromorphic maps of Pk. This class is strictly larger than that of algebraically stable meromorphic self-maps of Pk. 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.
LA - eng
KW - Funciones de varias variables complejas; Función meromorfa; Polinomios; Sistemas dinámicos complejos; quasi-algebraically stable meromorphic maps; recurrent property; first dynamical degrees
UR - http://eudml.org/doc/41599
ER -