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
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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.