Gauss-Manin connection of hyperelliptic polynomials

DOI10.1016/S0007-4497(00)01063-0zbMath0997.32023MaRDI QIDQ1841209

Gilles Bailly-Maitre

Publication date: 7 November 2002

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

zbMATH Keywords

Riemann-Hilbert problemMilnor numberBrieskorn latticebifurcation setGauss-Manin connectionmonodromy representationhyperelliptic polynomialtopology of polynomial fibers

Mathematics Subject Classification ID

de Rham theory in global analysis (58A12) Global theory of complex singularities; cohomological properties (32S20) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50)

Related Items (1)

Picard-Fuchs equations and Gauss-Manin systems with a view towards the Riemann-Hilbert problem

Cites Work

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• Singularités des systèmes différentiels de Gauss-Manin. Avec des contributions de Lo Kam Chan, Philippe Maisonobe et Jean-Etienne Rombaldi
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• Singularities and topology of hypersurfaces
• Petrov modules and zeros of abelian integrals
• On sufficient conditions for the positive solvability of the Riemann- Hilbert problem
• A geometrical approach to the Jacobian conjecture for \(n=2\)
• Quasihomogeneous isolated singularities of hyperplanes.
• Equations différentielles à points singuliers réguliers
• The Invariance of Milnor's Number Implies the Invariance of the Topological Type
• Five Definitions of Critical Point at Infinity
• Sur le système local de Gauss-Manin d'un polynôme de deux variables

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