Some remarks on indices of holomorphic vector fields.

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
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