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

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We 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"

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Complex Variables, Algebraic Geometry, Primary 32F50, Secondary 58F15, 58F23

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http://salesiana.dossiersoluciones.com/handle/123456789/110292

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0603545
 http://arxiv.org/abs/math/0603545

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arXiv