Dimension formulas for the hyperfunction solutions to holonomic \(\mathcal D\)-modules

DOI10.1016/S0001-8708(02)00099-3zbMath1066.32014MaRDI QIDQ1417997

Kiyoshi Takeuchi

Publication date: 6 January 2004

Published in: Advances in Mathematics (Search for Journal in Brave)

zbMATH Keywords

\(\mathcal D\)-moduleHolonomic systemIndex theorem

Mathematics Subject Classification ID

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 (4)

Perverse sheaves over real hyperplane arrangements ⋮ Perverse schobers and GKZ systems ⋮ Characteristic cycles of perverse sheaves and Milnor fibers ⋮ On the dimension formula for the hyperfunction solutions of some holonomic \(D\)-modules

Cites Work

• A vanishing theorem for holonomic modules with positive characteristic varieties
• \({\mathcal D}\)-modules et faisceaux pervers dont le support singulier est un croisement normal
• Generalized Euler integrals and \(A\)-hypergeometric functions
• Theory of prehomogeneous vector spaces without regularity condition
• On the maximally overdetermined system of linear differential equations. I
• Microlocal analysis and calculations on some relatively invariant hyperfunctions related to zeta functions associated with the vector spaces of quadratic forms
• Characteristic cycles of constructible sheaves
• Moduli of regular holonomic \(\mathcal D\)-modules with normal crossing singularities
• Categorical framework for the study of singular spaces
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