An upper bound for the total sum of the Baum-Bott indices of a holomorphic foliation and the Poincaré problem (Q1766329)
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scientific article; zbMATH DE number 2140980
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An upper bound for the total sum of the Baum-Bott indices of a holomorphic foliation and the Poincaré problem |
scientific article; zbMATH DE number 2140980 |
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An upper bound for the total sum of the Baum-Bott indices of a holomorphic foliation and the Poincaré problem (English)
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7 March 2005
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The author studies the algebraic integrability of a differential equation of the first order and of the first degree in \({\mathbb C}^2\). The author obtains an upper bound for its algebraic solution. The upper bound is obtained through an upper bound for the total sum of the Baum-Bott indices of the singularities of a foliation.
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holomorphic foliation
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indices of singularities
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algebraic solutions
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