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| Pàgina inicial > Articles > Articles publicats > Some remarks on indices of holomorphic vector fields |
| Data: | 1997 |
| Resum: | 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. |
| Drets: | Tots els drets reservats.  |
| Llengua: | Anglès |
| Document: | Article ; recerca ; Versió publicada |
| Publicat a: | Publicacions matemàtiques, V. 41 n. 2 (1997) p. 527-544, ISSN 2014-4350 |
