Title
Characterization of second type plane foliations using Newton polygons
Date Issued
01 May 2022
Access level
metadata only access
Resource Type
journal article
Author(s)
Publisher(s)
Sciendo
Abstract
In this article we characterize the foliations that have the same Newton polygon that their union of formal separatrices, they are the foliations called of the second type. In the case of cuspidal foliations studied by Loray [Lo], we precise this characterization using the Poincaré-Hopf index. This index also characterizes the cuspidal foliations having the same process of singularity reduction that the union of its separatrices. Finally we give necessary and sufficient conditions when these cuspidal foliations are generalized curves, and a characterization when they have only one separatrix.
Start page
103
End page
123
Volume
30
Issue
2
Language
English
OCDE Knowledge area
Matemáticas aplicadas
Subjects
Scopus EID
2-s2.0-85131561545
Source
Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica
ISSN of the container
12241784
Sponsor(s)
First-named and third-named authors were partially supported by the Pontificia Universidad Católica del Perú project VRI-DGI 2017-01-0083. Second-named author was partially supported by the Spanish grant MICINN PID2019-105896GB- I00
Sources of information:
Directorio de Producción Científica
Scopus