Algebraic degrees for iterates of meromorphic self-maps of $¶^k$
| dc.creator | Nguyen, Viet-Anh | |
| dc.date | 2006-03-22 | |
| dc.date.accessioned | 2026-07-07T07:07:10Z | |
| dc.date.available | 2026-07-07T07:07:10Z | |
| dc.description | 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. | |
| dc.description | 14 pages. To appear in ``Publicacions Matematiques" | |
| dc.identifier | https://arxiv.org/abs/math/0603545 | |
| dc.identifier | http://arxiv.org/abs/math/0603545 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110292 | |
| dc.subject | Complex Variables | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Primary 32F50, Secondary 58F15, 58F23 | |
| dc.title | Algebraic degrees for iterates of meromorphic self-maps of $¶^k$ | |
| dc.type | text |