Title
On the quasi-ordinary cuspidal foliations in ( C3, 0 )
Date Issued
2006
Access level
open access
Resource Type
journal article
Author(s)
Abstract
In this paper, we study a class of singularities of codimension 1 holomorphic germs of foliations in ( C3, 0 ), namely those ones having only one separatrix, that is a quasi-ordinary surface, and whose reduction of singularities agrees with the combinatorial desingularization of the separatrix. We show that the analytic classification of these germs can be read in the holonomy of a certain component of the exceptional divisor of the desingularization. © 2005 Elsevier Inc. All rights reserved.
Start page
250
End page
268
Volume
226
Issue
1
Number
4
Language
English
Scopus EID
2-s2.0-33646538080
Source
Journal of Differential Equations
ISSN of the container
0022-0396
Sponsor(s)
✩ Both authors partially supported by CONCYTEC (Peru) under the research project 551-OAJ (2004), and by Junta de Castilla y León (Spain) under project VA123/04. * Corresponding author. Fax: +34 983423013. E-mail addresses: pefernan@pucp.edu.pe (P. Fernández-Sánchez), jmozo@maf.uva.es (J. Mozo-Fernández).
Sources of information: Directorio de Producción Científica