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Algebraic degrees for iterates of meromorphic self-maps of Pk.

Viêt-Anh Nguyên (2006)

Publicacions Matemàtiques

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.

Algebraic foliations defined by complete vector fields

Alvaro Bustinduy (2011)

Banach Center Publications

The aim of this note is to give a clearer and more direct proof of the main result of another paper of the author. Moreover, we give some complementary results related to R-complete algebraic foliations with R a rational function of type ℂ*.

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