Duality for vanishing cycle functors

DOI10.2977/prims/1195172510zbMath0712.32011OpenAlexW1989273124MaRDI QIDQ923773

Morihiko Saito

Publication date: 1989

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/1195172510

zbMATH Keywords

dualityCohen-MacaulayV-filtrationholonomic modulevanishing cycle functors

Mathematics Subject Classification ID

de Rham theory in global analysis (58A12) Sheaves of differential operators and their modules, (D)-modules (32C38) Hodge theory in global analysis (58A14) de Rham cohomology and algebraic geometry (14F40) Topological properties in algebraic geometry (14F45) Duality theorems for analytic spaces (32C37)

Related Items (13)

Cycles évanescents, spécialisation et \({\mathcal D}\)-modules. (Nearby cycles, specialization and \({\mathcal D}\)-modules.) ⋮ On microlocal $b$-function ⋮ Symmetries and stabilization for sheaves of vanishing cycles ⋮ Spectral Hirzebruch-Milnor classes of singular hypersurfaces ⋮ Briançon-Skoda exponents and the maximal root of reduced Bernstein-Sato polynomials ⋮ The Du Bois complex of a hypersurface and the minimal exponent ⋮ On V-filtration, Hodge filtration and Fourier transform ⋮ Positivity for quantum cluster algebras ⋮ Decomposition theorem for proper Kähler morphisms ⋮ Hodge filtration, minimal exponent, and local vanishing ⋮ Iterated vanishing cycles, convolution, and a motivic analogue of a conjecture of Steenbrink ⋮ Witt groups of abelian categories and perverse sheaves ⋮ Cohomological Donaldson-Thomas theory of a quiver with potential and quantum enveloping algebras

Cites Work

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• Modules de Hodge polarisables. (Polarisable Hodge modules)
• On the maximally overdetermined system of linear differential equations. I
• B-functions and holonomic systems. Rationality of roots of B-functions
• On the holonomic systems of linear differential equations. II

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