Polígono de Newton de una foliación de tipo curva generalizada
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...
| Autor Principal: | Fernández, Percy |
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| Otros Autores: | Saravia, Nancy |
| Formato: | Artículo |
| Idioma: | spa |
| Publicado: |
Pontificia Universidad Católica del Perú
2016
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| Materias: | |
| Acceso en línea: |
http://revistas.pucp.edu.pe/index.php/promathematica/article/view/14995/15524 |
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| Sumario: |
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 notquite right, as noticed by Fernandez, Mozo and, Neciosup. |
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