Algebraic degrees for iterates of meromorphic self-maps of Pk
- Autores: Nguyên Viêt Anh
- Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 50, Nº 2, 2006, págs. 457-473
- Idioma: español
- DOI: 10.5565/publmat_50206_10
- Enlaces
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Resumen
We first introduce the class of quasi-algebraically stable meromorphic maps of $\mathbb{P}^k$. This class is strictly larger than that of algebraically stable meromorphic self-maps of $\mathbb{P}^k$. 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.
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