Polígono de Newton de una foliación de tipo curva generalizada
Keywords:
Foliations, Newton polygon of a foliation, generalized curve foliations
Abstract
Generalized curve foliations are a type of foliations that have a similar reduction as the one given by curves. Camacho, Lins Neto, and Sad showed that generalized curve no-dicritical foliations have the same reduction of singularities than their separatrices. In this paper we give a novel proof of Dulac's theorem ([9]) using techniques of Rouille ([19]). This theorem shows that for generalized curve no-dicritical foliations their Newton polygons and their separatrices are equal. Using Dulac's theorem we return to a result (wrongly) stated by Loray, which is not
quite right, as noticed by Fernandez, Mozo and, Neciosup.
Downloads
Download data is not yet available.
How to Cite
Fernández, P., & Saravia, N. (2016). Polígono de Newton de una foliación de tipo curva generalizada. Pro Mathematica, 29(57), 47-81. Retrieved from https://revistas.pucp.edu.pe/index.php/promathematica/article/view/14995
Copyright (c) 2016 Pro Mathematica
![Creative Commons License](http://i.creativecommons.org/l/by/4.0/88x31.png)
This work is licensed under a Creative Commons Attribution 4.0 International License.