Brieskorn and the monodromy

DOI10.5427/jsing.2018.18fzbMath1410.32013OpenAlexW2899574280WikidataQ128961290 ScholiaQ128961290MaRDI QIDQ4558410

Marcos Sebastiani, Jean-Paul Brasselet

Publication date: 22 November 2018

Published in: Journal of Singularities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5427/jsing.2018.18f

zbMATH Keywords

regularityBernstein polynomialsmonodromyMilnor numberGauss-Manin connectionflat connectionshypersurface singularitiesresiduerelative de Rham complexperiods of integralsBrieskorn-Milnor bundleLeray coboundary

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces (32-02) Period matrices, variation of Hodge structure; degenerations (32G20) Milnor fibration; relations with knot theory (32S55) Topological invariants on manifolds (58K65) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Deformations of complex singularities; vanishing cycles (32S30) Hypersurfaces and algebraic geometry (14J70) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40) Monodromy on manifolds (58K10)

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Archimedean zeta functions and oscillatory integrals, Computing regular meromorphic differential forms via Saito's logarithmic residues

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
• On the mixed Hodge structure on the cohomology of the Milnor fibre
• On the structure of Brieskorn lattice
• B-functions and holonomic systems. Rationality of roots of B-functions
• The analytic continuation of generalized functions with respect to a parameter
• Der Gauß-Manin-Zusammenhang isolierter Singularitäten von vollständigen Durchschnitten
• Asymptotic estimates for spectral functions connected with hypoelliptic differential operators
• Monodromy of isolated singularities of hypersurfaces
• Preuve d'une conjecture de Brieskorn
• Equations différentielles à points singuliers réguliers
• A normal form algorithm for the Brieskorn lattice
• Intégrales asymptotiques et monodromie
• Un Exposé de la Formule de Leray-Norguet
• Integration on a semianalytic set
• Periods of Integrals on Algebraic Manifolds, I. (Construction and Properties of the Modular Varieties)
• Singular Points of Complex Hypersurfaces. (AM-61)
• Le calcul différentiel et intégral sur une variété analytique complexe. (Problème de Cauchy. III.)