Modules formels locaux de feuilletages holomorphes
| dc.creator | Mattei, Jean-Francois | |
| dc.creator | Salem, Eliane | |
| dc.date | 2004-02-16 | |
| dc.date.accessioned | 2026-07-07T05:05:29Z | |
| dc.date.available | 2026-07-07T05:05:29Z | |
| dc.description | We give a complete list of formal invariants for a large class of formal differential 1-forms $\w \in \Bbb C [[ x, y]]dx + \Bbb C [[ x, y]]dy$. \indent A $\hat{SL}$-equisingular deformation is an equireducible deformation which leaves invariant both the local formal types and the holonomy representation of the components of the exceptional divisor. We characterize the 1-forms with finite formal type (t.f.f), i.e. those which admit a semi-universal $\hat{SL}$-equisingular deformation, and we give an explicit combinatorial criterion of finiteness. \indent The set of 1-forms with finite formal type contains a dense open set (in the sense of Krull's topology)in the set of 1-forms of the second kind. | |
| dc.description | 89 pages, french | |
| dc.identifier | https://arxiv.org/abs/math/0402256 | |
| dc.identifier | http://arxiv.org/abs/math/0402256 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70185 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Complex Variables | |
| dc.subject | 32A10, 32A20, 32B10,34C20, 34C35, 58F23, 32G34, 32S15, 32S30, 32S45, 32S65 | |
| dc.title | Modules formels locaux de feuilletages holomorphes | |
| dc.type | text |