Some remarks on indices of holomorphic vector fields

• Autores: Marco Brunella
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 41, Nº 2, 1997, págs. 527-544
• Idioma: inglés
• Títulos paralelos:
  • Observaciones sobre índices de campos vectoriales holomórficos
• Enlaces
  • Texto completo
• Resumen

  • 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.