Minimal free resolutions of homogenized \(D\)-modules

DOI10.1006/jsco.2001.0484zbMath1028.16015OpenAlexW2094649608MaRDI QIDQ5960294

Nobuki Takayama, Toshinori Oaku

Publication date: 15 April 2002

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jsco.2001.0484

zbMATH Keywords

algorithmsminimal resolutionsfiltrations\(D\)-modulesrings of differential operators

Mathematics Subject Classification ID

Syzygies, resolutions, complexes in associative algebras (16E05) Rings of differential operators (associative algebraic aspects) (16S32)

Related Items (4)

Minimal filtered free resolutions for analytic \(D\)-modules. ⋮ Multidegree for bifiltered \(D\)-modules ⋮ The computation of the logarithmic cohomology for plane curves ⋮ Minimal resolutions of geometric \(\mathcal D\)-modules

Cites Work

• Unnamed Item
• Strategies for computing minimal free resolutions
• An algorithm for de Rham cohomology groups of the complement of an affine variety via \(D\)-module computation
• Gröbner deformations of hypergeometric differential equations
• Algorithms for \(D\)-modules -- restriction, tensor product, localization, and local cohomology groups

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