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.
@article{urn:eudml:doc:41599,
title = {Algebraic degrees for iterates of meromorphic self-maps of Pk.},
journal = {Publicacions Matem\`atiques},
volume = {50},
year = {2006},
pages = {457-473},
zbl = {1112.37035},
mrnumber = {MR2273670},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41599}
}
Nguyên, Viêt-Anh. Algebraic degrees for iterates of meromorphic self-maps of Pk.. Publicacions Matemàtiques, Tome 50 (2006) pp. 457-473. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41599/