Scopus: 10 cites, Web of Science: 12 cites,
Algebraic degrees for iterates of meromorphic self-maps of Pk
Viêt-Anh Nguyên

Data: 2006
Resum: 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.
Drets: Tots els drets reservats.
Llengua: Anglès.
Document: Article ; recerca ; article ; publishedVersion
Publicat a: Publicacions Matemàtiques, V. 50 n. 2 (2006) p. 457-473, ISSN 0214-1493

DOI: 10.5565/PUBLMAT_50206_10

17 p, 194.2 KB

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