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Formulas for the multiplicity and the Milnor number of a foliation on \((\mathbb{C}^2,0)\). (Formules pour la multiplicité et le nombre de Milnor d’un feuilletage sur \((\mathbb{C}^2,0)\).) (French) Zbl 1002.32024

The author establishes two sets of formulas for the multiplicity and the Milnor number of any saturated foliation on \((\mathbb{C}^2, 0)\), and obtains a polynomial generalizing the characteristic polynomial for the singularity of an isolated plane curve.

MSC:

32S65 Singularities of holomorphic vector fields and foliations
57R30 Foliations in differential topology; geometric theory
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References:

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