scientific article; zbMATH DE number 961025

zbMath0867.32016MaRDI QIDQ5689231

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Publication date: 26 January 1997

Full work available at URL: https://eudml.org/doc/47668

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zbMATH Keywords

hypergeometric functionsGauß-Manin connectionperiod integrals

Mathematics Subject Classification ID

Complete intersections (14M10) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Complex surface and hypersurface singularities (32S25) Generalized hypergeometric series, ({}_pF_q) (33C20) de Rham cohomology and algebraic geometry (14F40) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40)

Related Items (1)

Gauss-Manin connection associated to the versal deformation of the singularity \(A_\mu\) and zeros of the hyperelliptic integral

Cites Work

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• Configurations and invariant Gauss-Manin connections of integrals. I
• A calculus of the Gauss-Manin system of type \(A_ k\). I: The residual representation. II: The Hamiltonian representation
• Expansion of the solutions of a Gauss-Manin system at a point of infinity
• The monodromy groups of isolated singularities of complete intersections
• Der Gauß-Manin-Zusammenhang isolierter Singularitäten von vollständigen Durchschnitten
• Monodromy of isolated singularities of hypersurfaces
• Study of a special class Pfaffian systems of Fuchs type on the complex projective space.

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