Gauss-Manin connection associated to the versal deformation of the singularity \(A_\mu\) and zeros of the hyperelliptic integral (Q1599933)
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scientific article; zbMATH DE number 1751548
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Gauss-Manin connection associated to the versal deformation of the singularity \(A_\mu\) and zeros of the hyperelliptic integral |
scientific article; zbMATH DE number 1751548 |
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Gauss-Manin connection associated to the versal deformation of the singularity \(A_\mu\) and zeros of the hyperelliptic integral (English)
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26 June 2002
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The author investigates systems of differential equations which are satisfied by hyperelliptic integrals. His main very interesting result is an explicit bound for the multiplicity of zeros of Abelian integrals. The relation with the Hilbert 16th problem about limit cycles is presented in the final part of the paper.
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Abelian integral
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Gauss-Manin connection
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Picard-Fuchs system
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isomonodromic deformation
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