Vanishing cycles of \(D\)-modules

DOI10.1007/BF01232445zbMath0799.32031OpenAlexW426105229MaRDI QIDQ1319241

Yves Laurent

Publication date: 9 November 1994

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144112

zbMATH Keywords

Cauchy problemvanishing cycles\({\mathcal D}\)-modulescharacteristic varietymicrodifferential operators

Mathematics Subject Classification ID

Sheaves of differential operators and their modules, (D)-modules (32C38) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40) Relations of PDEs on manifolds with hyperfunctions (58J15)

Related Items

Pentes algébriques et pentes analytiques d'un -module ⋮ Localization of differential systems, Whitney stratification and Thom condition ⋮ Cycles évanescents, spécialisation et \({\mathcal D}\)-modules. (Nearby cycles, specialization and \({\mathcal D}\)-modules.) ⋮ Topological boundary values and regular \(\mathcal D\)-modules ⋮ \({\mathcal D}\)-modules and characters of semisimple Lie groups ⋮ Sur les systèmes différentiels relativement spécialisables et l'existence d'équations fonctionnelles relatives ⋮ La transformation de Fourier pour les \({\mathcal D}\)-modules. (Fourier transform for \({\mathcal D}\)-modules)

Cites Work

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• Systems of microdifferential equations. Notes and transl. by Teresa Monteiro Fernandes. Introd. by Jean-Luc Brylinski
• Sur les images directes de \({\mathcal D}\)-modules
• Characteristic varieties and vanishing cycles
• On the holonomic systems of linear differential equations. II
• On holonomic systems of microdifferential equations. III: Systems with regular singularities
• Théorie de la deuxième microlocalisation dans le domaine complexe
• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• Polygône de Newton et $b$-fonctions pour les modules microdifférentiels
• The first cohomology groups of infinite dimensional Lie algebras