Minimal filtered free resolutions for analytic \(D\)-modules.

DOI10.1016/j.jpaa.2003.12.005zbMath1064.16024OpenAlexW2129462776MaRDI QIDQ1878440

Michel Granger, Toshinori Oaku

Publication date: 19 August 2004

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2003.12.005

zbMATH Keywords

free resolutions\(\mathcal D\)-modules

Mathematics Subject Classification ID

Sheaves of differential operators and their modules, (D)-modules (32C38) Syzygies, resolutions, complexes in associative algebras (16E05) Rings of differential operators (associative algebraic aspects) (16S32) Filtered associative rings; filtrational and graded techniques (16W70)

Related Items (6)

Multidegree for bifiltered \(D\)-modules ⋮ Tangent cone algorithm for homogenized differential operators ⋮ A flatness property for filtered \(D\)-modules ⋮ Minimal resolutions of geometric \(\mathcal D\)-modules ⋮ Stratification associated with local \(b\)-functions ⋮ Algorithm computing the local \(b\) function by an approximate division algorithm in \(\widehat{\mathcal D}\)

Uses Software

• Kan
• OpenXM

Cites Work

• Systèmes différentiels fuchsiens le long d'une sous-variété. (Fuchsian differential systems along a submanifold)
• Algorithms for \(D\)-modules -- restriction, tensor product, localization, and local cohomology groups
• The analytic standard fan of a \(\mathcal D\)-module
• Minimal free resolutions of homogenized \(D\)-modules
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