Induced ${\cal D}$-modules and differential complexes

DOI10.24033/bsmf.2128zbMath0705.32005OpenAlexW2585012327MaRDI QIDQ3485167

Morihiko Saito

Publication date: 1989

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1989__117_3_361_0

zbMATH Keywords

duality\({\mathcal D}\)-modulesdirect imagedifferential complexes

Mathematics Subject Classification ID

Sheaves of differential operators and their modules, (D)-modules (32C38) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) de Rham cohomology and algebraic geometry (14F40) Duality theorems for analytic spaces (32C37)

Related Items

Characteristic classes of symmetric products of complex quasi-projective varieties ⋮ Associated graded of Hodge modules and categorical \(\mathfrak{sl}_2\) actions ⋮ On derived categories of differential complexes ⋮ Cycles évanescents, spécialisation et \({\mathcal D}\)-modules. (Nearby cycles, specialization and \({\mathcal D}\)-modules.) ⋮ Non-commutative Hodge structures ⋮ Unnamed Item ⋮ \(E_1\)-degeneration of the irregular Hodge filtration ⋮ Note on algebraic irregular Riemann-Hilbert correspondence ⋮ Higher Du Bois singularities of hypersurfaces ⋮ Differential complexes and stratified pro-modules ⋮ \(\mathcal D\)-modules on analytic spaces ⋮ Topics of motivic characteristic classes ⋮ HIRZEBRUCH CLASSES AND MOTIVIC CHERN CLASSES FOR SINGULAR SPACES ⋮ Overcoherent arithmetic \(\mathcal D\)-modules. Application to \(L\)-functions. ⋮ Cusps and 𝒟-modules ⋮ Koszul duality for Lie algebroids ⋮ ${\cal D}$-modules arithmétiques. II: Descente par Frobenius ⋮ Dualité locale et holonomie pour les ${\cal D}$-modules arithmétiques ⋮ Mixed Hodge complexes on algebraic varieties and \(t\)-structures

Cites Work

• Modules de Hodge polarisables. (Polarisable Hodge modules)
• Théoremes de bidualité locale pour les \(D_ x\)-modules holonomes
• The Riemann-Hilbert problem for holonomic systems
• On the maximally overdetermined system of linear differential equations. I
• B-functions and holonomic systems. Rationality of roots of B-functions
• On holonomic systems of microdifferential equations. III: Systems with regular singularities
• 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
• Dualité relative en géométrie analytique complexe
• Éléments de géométrie algébrique. III: Étude cohomologique des faisceaux cohérents. (Séconde partie). Rédigé avec la colloboration de J. Dieudonné
• Notes on Crystalline Cohomology. (MN-21)
• Mixed Hodge modules
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item