The trace formula for equivariant \({\mathcal D}\)-modules and perverse sheaves

DOI10.1007/BF02571344zbMath0728.14017OpenAlexW2006171517MaRDI QIDQ804656

Roy Joshua

Publication date: 1991

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174226

zbMATH Keywords

trace formulaintersection cohomologyRiemann-Roch theoremequivariant perverse sheavesequivariant regular holonomic \({\mathcal D}\)-modules

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Sheaves of differential operators and their modules, (D)-modules (32C38) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10)

Related Items (4)

Riemann-Roch for equivariant \({\mathcal D}\)-modules. I ⋮ Higher \(K\)-theory of the category of weakly equivariant \({\mathcal D}\)- modules ⋮ A Lefschetz formula in equivariant algebraic \(K\)-theory ⋮ Riemann-Roch for weakly-equivariant \(D\)-modules. II

Cites Work

• Unnamed Item
• Intersection homology. II
• Riemann-Roch for equivariant \({\mathcal D}\)-modules. I
• Sur les images directes de \({\mathcal D}\)-modules
• Vanishing of odd-dimensional intersection cohomology
• Lefschetz-Riemann-Roch theorem and coherent trace formula
• Localization theorem in K-theory for singular varieties
• Riemann-Roch for weakly-equivariant \(D\)-modules. II
• Equivariant completion
• A fixed point formula for action of tori on algebraic varieties
• Diagonalizably linearized coherent sheaves

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