Título inglés |
Some remarks on indices of holomorphic vector fields. |
Título español |
Observaciones sobre índices de campos vectoriales holomórficos. |
Autor/es |
Brunella, Marco |
Organización |
Lab. Topol. (CNRS) Univ. Bourgogne, Dijon, Francia |
Revista |
0214-1493 |
Publicación |
1997, 41 (2): 527-544, 15 Ref. |
Tipo de documento |
articulo |
Idioma |
Inglés |
Resumen inglés |
One can associate several residue-type indices to a singular point of a two-dimensional holomorphic vector field. Some of these indices depend also on the choice of a separatrix at the singular
point. We establish some relations between them, especially when the singular point is a generalized curve and the separatrix is the maximal one. These local results have global consequences, for example concerning the construction of logarithmic forms defining a given holomorphic foliation. |
Clasificación UNESCO |
120225 |
Palabras clave español |
Campos vectoriales ; Funciones holomorfas ; Puntos singulares |
Código MathReviews |
MR1485502 |
Acceso al artículo completo |