The freeness and minimal free resolutions of modules of differential operators of a generic hyperplane arrangement.

DOI10.1016/j.jalgebra.2011.10.042zbMath1276.16020arXiv1106.1759OpenAlexW2004558207MaRDI QIDQ427769

Norihiro Nakashima, Mutsumi Saito, Go Okuyama

Publication date: 18 June 2012

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

Full work available at URL: https://arxiv.org/abs/1106.1759

zbMATH Keywords

minimal free resolutionJacobian idealrings of differential operatorsgeneric hyperplane arrangementsjet modules

Mathematics Subject Classification ID

Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Relations with arrangements of hyperplanes (32S22) Sheaves of differential operators and their modules, (D)-modules (32C38) Syzygies, resolutions, complexes and commutative rings (13D02) Commutative rings of differential operators and their modules (13N10) Rings of differential operators (associative algebraic aspects) (16S32)

Related Items (2)

High order free hyperplane arrangements in 3-dimensional vector spaces ⋮ A characterization of high order freeness for product arrangements and answers to Holm's questions

Cites Work

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• A free resolution of the module of derivations for generic arrangements
• A free resolution of the module of logarithmic forms of a generic arrangement
• Groups of simple algebras
• Castelnuovo-Mumford regularity by approximation
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
• Affine Hopf algebras. I
• Differential Operators on Hyperplane Arrangements
• A Conjecture on Poincaré-Betti Series of Modules of Differential Operators on a Generic Hyperplane Arrangement

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