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Displaying similar documents to “The index of a vector field tangent to a hypersurface and the signature of the relative jacobian determinant”

On homological index

Bahman Khanedani (2000)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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Some remarks on indices of holomorphic vector fields.

Marco Brunella (1997)

Publicacions Matemàtiques

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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. ...