On V-filtration, Hodge filtration and Fourier transform

DOI10.1007/s00029-023-00850-1zbMath1523.14038arXiv2111.04622OpenAlexW4382931160MaRDI QIDQ6132652

Bradley Dirks, Qianyu Chen

Publication date: 14 July 2023

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.04622

zbMATH Keywords

complete intersectionsvanishing cyclesFourier-Laplace transformHodge filtrationmultiplier idealsmonodromy filtrationmixed Hodge modules\(V\)-filtrationvariations of Hodge structureregular singularitiesmonodromic mixed Hodge modulespolarizable Hodge modules

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Complex surface and hypersurface singularities (32S25)

Cites Work

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• Modules de Hodge polarisables. (Polarisable Hodge modules)
• \(D\)-modules, perverse sheaves, and representation theory. Translated from the Japanese by Kiyoshi Takeuchi
• Duality for vanishing cycle functors
• Characteristic varieties and vanishing cycles
• Mixed Hodge complexes on algebraic varieties
• Théoreme de Lefschetz et critères de dégénérescence de suites spectrales
• Théorie de Hodge. II. (Hodge theory. II)
• A description of monodromic mixed Hodge modules
• Weight filtrations on GKZ-systems
• Bernstein–Sato polynomials of arbitrary varieties
• Mixed Hodge modules
• Relative monodromy weight filtrations

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