On the de Rham homology and cohomology of a complete local ring in equicharacteristic zero

DOI10.1112/S0010437X17007345zbMath1405.13033arXiv1603.09743MaRDI QIDQ4590942

Nicholas Switala

Publication date: 21 November 2017

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.09743

zbMATH Keywords

local cohomologyMatlis dualityformal schemesalgebraic de Rham cohomologyholonomic \(\mathcal D\)-modulescontinuous differential forms

Mathematics Subject Classification ID

de Rham cohomology and algebraic geometry (14F40) Local cohomology and commutative rings (13D45)

Related Items (9)

Duality and de Rham cohomology for graded \(\mathcal{D}\)-modules ⋮ Local Cohomology—An Invitation ⋮ On Lyubeznik type invariants ⋮ A prime-characteristic analogue of a theorem of Hartshorne-Polini ⋮ On the de Rham homology of affine varieties in characteristic 0 ⋮ Simple \(\mathcal{D}\)-module components of local cohomology modules ⋮ On Switala's Matlis duality for \(\mathcal{D}\)-modules ⋮ Symmetry on rings of differential operators ⋮ Quantifying singularities with differential operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Injective modules over Noetherian rings
• \(D\)-modules, perverse sheaves, and representation theory. Translated from the Japanese by Kiyoshi Takeuchi
• An introduction to homological algebra
• Local cohomological dimension of algebraic varieties
• Local cohomology of analytic spaces
• Finiteness properties of local cohomology modules (an application of \(D\)- modules to commutative algebra)
• Van den Essen's theorem on the de Rham cohomology of a holonomic \(\mathcal{D}\)-module over a formal power series ring
• On some local cohomology invariants of local rings
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
• The Cousin complex for a module over a commutative Noetherian ring
• Local cohomology. A seminar given by A. Grothendieck, Harvard University, Fall 1961. Notes by R. Hartshorne
• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• Sur quelques points d'algèbre homologique
• Generalized Lyubeznik numbers
• On the De Rham cohomology of algebraic varieties

This page was built for publication: On the de Rham homology and cohomology of a complete local ring in equicharacteristic zero