On the Gauss-Manin system of a tame polynomial

DOI10.1016/S0007-4497(01)01081-8zbMath0984.32017MaRDI QIDQ5939012

Antoine Douai

Publication date: 3 September 2001

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

zbMATH Keywords

Brieskorn latticeGauss-Manin connexionresidue matrixtame polynomial

Mathematics Subject Classification ID

Period matrices, variation of Hodge structure; degenerations (32G20) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40)

Related Items (3)

Picard-Fuchs equations and Gauss-Manin systems with a view towards the Riemann-Hilbert problem ⋮ Ehrhart polynomials of polytopes and spectrum at infinity of Laurent polynomials ⋮ Bounded decomposition in the Brieskorn lattice and Pfaffian Picard--Fuchs systems for Abelian integrals

Cites Work

• Hypergeometric periods for a tame polynomial
• Milnor numbers and the topology of polynomial hypersurfaces
• Polyedres de Newton et nombres de Milnor
• Petrov modules and zeros of abelian integrals
• Relative differential forms and complex polynomials
• Monodromy of isolated singularities of hypersurfaces
• Très bonnes bases du réseau de Brieskorn d'un polynôme modéré

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