Differential Operators on Hyperplane Arrangements

DOI10.1081/AGB-120037213zbMath1097.14042MaRDI QIDQ3158203

Pär Holm

Publication date: 21 January 2005

Published in: Communications in Algebra (Search for Journal in Brave)

zbMATH Keywords

enumerative problemsrings of differential operators and their modules

Mathematics Subject Classification ID

Relations with arrangements of hyperplanes (32S22) Commutative rings of differential operators and their modules (13N10) Rings of differential operators (associative algebraic aspects) (16S32) Configurations and arrangements of linear subspaces (14N20)

Related Items (7)

Local Cohomology—An Invitation ⋮ High order free hyperplane arrangements in 3-dimensional vector spaces ⋮ The freeness and minimal free resolutions of modules of differential operators of a generic hyperplane arrangement. ⋮ Modules of differential operators of order 2 on Coxeter arrangements ⋮ The Jacobian module, the Milnor fiber, and the \(D\)-module generated by \(f^s\) ⋮ A characterization of high order freeness for product arrangements and answers to Holm's questions ⋮ The Noetherian Properties of the Rings of Differential Operators on Central 2-Arrangements

Cites Work

• A free resolution of the module of derivations for generic arrangements
• A free resolution of the module of logarithmic forms of a generic arrangement
• The module of derivations for an arrangement of subspaces.

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