Diagonalization of non-diagonalizable discrete holomorphic dynamical systems
| dc.creator | Abate, Marco | |
| dc.date | 1999-10-06 | |
| dc.date.accessioned | 2026-07-07T05:31:04Z | |
| dc.date.available | 2026-07-07T05:31:04Z | |
| dc.description | We describe a canonical procedure for associating to any (germ of) holomorphic self-map f of C^n fixing the origin such that df_O is invertible and non-diagonalizable an n-dimensional complex manifold M, a holomorphic map p from M to C^n, a point e in M and a (germ of) holomorphic self-map F of M so that: p restricted to the complement of p^{-1}(O) is a biholomorphism between this complement and C^n minus the origin; p semiconjugates f and F; and e is a fixed point of F such that dF_e is diagonalizable. Furthermore, we use this construction to describe the local dynamics of such an f nearby the origin when the only eigenvalue of df_O is 1. | |
| dc.description | Plain-TeX file, 17 pages | |
| dc.identifier | https://arxiv.org/abs/math/9910032 | |
| dc.identifier | http://arxiv.org/abs/math/9910032 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79209 | |
| dc.subject | Complex Variables | |
| dc.subject | Dynamical Systems | |
| dc.subject | 32H50 (Primary), 32H02, 58F23 (Secondary) | |
| dc.title | Diagonalization of non-diagonalizable discrete holomorphic dynamical systems | |
| dc.type | text |