Fourier-Sato Transform on Hyperplane Arrangements

DOI10.1007/978-3-030-82007-7_4zbMath1497.14035OpenAlexW4285067131MaRDI QIDQ5044554

Vadim Schechtman, Michael Finkelberg, Mikhail Kapranov

Publication date: 1 November 2022

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

Full work available at URL: https://doi.org/10.1007/978-3-030-82007-7_4

Mathematics Subject Classification ID

Relations with arrangements of hyperplanes (32S22) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Relations of PDEs on manifolds with hyperfunctions (58J15) Configurations and arrangements of linear subspaces (14N20) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)

Cites Work

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• Perverse sheaves over real hyperplane arrangements
• Combinatorics and topology of the situation of affine hyperplanes in real space
• On the spectral side of Arthur's trace formula -- combinatorial setup
• Elementary construction of perverse sheaves
• Factorizable sheaves and quantum groups
• Hyperbolic localization of intersection cohomology
• Binormal deformation and bimicrolocalization
• On a theorem of Braden
• Théorie de la deuxième microlocalisation dans le domaine complexe

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