Holomorphic dynamics near germs of singular curves
| dc.creator | Innocenti, Francesco Degli | |
| dc.date | 2005-02-02 | |
| dc.date.accessioned | 2026-07-07T05:16:36Z | |
| dc.date.available | 2026-07-07T05:16:36Z | |
| dc.description | Let $M$ be a two dimensional complex manifold, $p \in M $ and \Fl a germ of holomorphic foliation of \M at $p$. Let $S\subset M$ be a germ of an irreducible, possibly singular, curve at $p$ in $M$ which is a separatrix for \Fl. We prove that if the Camacho-Sad-Suwa index $\id(\F,S,p)\not \in \Q^+\cup \{0\} $ then there exists another separatrix for \Fl at $p$. A similar result is proved for the existence of parabolic curves for germs of holomorphic diffeomorphisms near a curve of fixed points. | |
| dc.description | 14 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/math/0502044 | |
| dc.identifier | http://arxiv.org/abs/math/0502044 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74049 | |
| dc.subject | Complex Variables | |
| dc.subject | 32H50; 37F99; 32S45; 32S65 | |
| dc.title | Holomorphic dynamics near germs of singular curves | |
| dc.type | text |