Formulas for the multiplicity and the Milnor number of a foliation on \((\mathbb{C}^2,0)\) (Q5952881)
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scientific article; zbMATH DE number 1690523
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Formulas for the multiplicity and the Milnor number of a foliation on \((\mathbb{C}^2,0)\) |
scientific article; zbMATH DE number 1690523 |
Statements
Formulas for the multiplicity and the Milnor number of a foliation on \((\mathbb{C}^2,0)\) (English)
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2 January 2003
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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.
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saturated foliation
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singularity
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Milnor number
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formula for the multiplicity
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