Title
On codimension one foliations with prescribed cuspidal separatrix
Date Issued
15 February 2014
Access level
open access
Resource Type
journal article
Abstract
In this paper, we will construct a pre-normal form for germs of codimension one holomorphic foliation having a particular type of separatrix, of cuspidal type. As an application, we will explain how this form could be used in order to study the analytic classification of the singularities via the projective holonomy, in the generalized surface case. We will also give an application to the analytic classification of singularities, and a sufficient condition, in the quasi-homogeneous, three-dimensional case, for these foliations to be of generalized surface type. © 2013 Elsevier Inc.
Start page
1702
End page
1717
Volume
256
Issue
4
Language
English
OCDE Knowledge area
Matemáticas aplicadas
Scopus EID
2-s2.0-84890863134
Source
Journal of Differential Equations
ISSN of the container
00220396
Sources of information: Directorio de Producción Científica Scopus