Algebraic degrees for iterates of meromorphic self-maps of $¶^k$

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/110292We first introduce the class of quasi-algebraically stable meromorphic maps of $¶^k.$ This class is strictly larger than that of algebraically stable meromorphic self-maps of $¶^k.$ 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.14 pages. To appear in ``Publicacions Matematiques"Complex VariablesAlgebraic GeometryPrimary 32F50, Secondary 58F15, 58F23Algebraic degrees for iterates of meromorphic self-maps of $¶^k$text