Andreotti-Norguet correspondence and \(\mathcal D\)-modules

DOI10.2977/prims/1195143497zbMath0972.32006OpenAlexW2064899025MaRDI QIDQ1973370

Jean-Louis Frot

Publication date: 9 November 2001

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195143497

zbMATH Keywords

cohomologyintegral geometry\({\mathcal D}\)-modulescorrespondence

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Radon transform (44A12) Twistor theory, double fibrations (complex-analytic aspects) (32L25) Sheaves of differential operators and their modules, (D)-modules (32C38) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27)

Related Items

Chow transformation of coherent sheaves, Radon and Fourier transforms for \(\mathcal D\)-modules.

Cites Work

• Homogeneous vector bundles
• Residue integral formulas and the Radon transform for differential forms on q-linearly concave domains
• Cohomology and massless fields
• Integral geometry in affine and projective spaces
• Systems of differential equations with regular singularities and their boundary value problems
• Differential equations and integral geometry
• Leray's quantization of projective duality
• Radon-Penrose transform for \({\mathcal D}\)-modules
• Characteristic Classes and Homogeneous Spaces, I
• Correspondance d'Andreotti-Norguet et d-modules
• Integral transforms with exponential kernels and Laplace transform
• Algebraic study of systems of partial differential equations
• Moderate and formal cohomology associated with constructible sheaves
• Transplanting Cohomology Classes in Complex-Projective Space
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