Cycles évanescents, spécialisation et \({\mathcal D}\)-modules. (Nearby cycles, specialization and \({\mathcal D}\)-modules.)

DOI10.5802/aif.1499zbMath0837.35006OpenAlexW2325088007MaRDI QIDQ1906112

Yves Laurent, Bernard Malgrange

Publication date: 6 February 1996

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1995__45_5_1353_0

zbMATH Keywords

vanishing cycles\({\mathcal D}\)-modulesspecializationnearby cyclesholonomic \({\mathcal D}\)-modules

Mathematics Subject Classification ID

Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27)

Related Items

Multiplier ideals, \(v\)-filtrations and transversal sections, Hamiltonian reduction and nearby cycles for mirabolic \(\mathcal{D}\)-modules, Topological boundary values and regular \(\mathcal D\)-modules, EXTENSION OF FUNCTORS FOR ALGEBRAS OF FORMAL DEFORMATION, Formal structure of direct image of holonomic \({\mathcal{D}}\)-modules of exponential type, La transformation de Fourier pour les \({\mathcal D}\)-modules. (Fourier transform for \({\mathcal D}\)-modules)

Cites Work

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• Bilder und Urbilder analytischer Garben
• Le théorème de comparaison entre cohomologies de de Rham d'une variété algébrique complexe et le théorème d'existence de Riemann. (The comparison theorem between de Rham cohomologies and the Riemann existence theorem)
• Duality for vanishing cycle functors
• The Riemann-Hilbert problem for holonomic systems
• Differential equations with polynomial coefficients
• B-functions and holonomic systems. Rationality of roots of B-functions
• On the holonomic systems of linear differential equations. II
• Vanishing cycles of \(D\)-modules
• On holonomic systems of microdifferential equations. III: Systems with regular singularities
• Algèbre locale. Multiplicités. Cours au Collège de France, 1957-1958, rédigé par Pierre Gabriel. 2e ed.
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• Induced ${\cal D}$-modules and differential complexes
• Polygône de Newton et $b$-fonctions pour les modules microdifférentiels
• Idéaux de fonctions analytiques de $n$ variables complexes
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