Multidegree for bifiltered \(D\)-modules

DOI10.1016/J.JPAA.2011.06.010zbMath1237.13049arXiv1006.2298OpenAlexW2963801168MaRDI QIDQ659864

Rémi Arcadias

Publication date: 24 January 2012

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

Full work available at URL: https://arxiv.org/abs/1006.2298

Mathematics Subject Classification ID

Other hypergeometric functions and integrals in several variables (33C70) Syzygies, resolutions, complexes in associative algebras (16E05) Commutative rings of differential operators and their modules (13N10) Filtered associative rings; filtrational and graded techniques (16W70)

Uses Software

• Macaulay2
• SINGULAR
• Kan

Cites Work

• Systèmes différentiels fuchsiens le long d'une sous-variété. (Fuchsian differential systems along a submanifold)
• Irregularity of hypergeometric systems via slopes along coordinate subspaces
• Hypergeometric functions and rings generated by monomials
• Algorithms for the \(b\)-function and \(D\)-modules associated with a polynomial
• Minimal filtered free resolutions for analytic \(D\)-modules.
• Gröbner deformations of hypergeometric differential equations
• Minimal resolutions of geometric \(\mathcal D\)-modules
• Hypergeometric functions and toric varieties
• Algorithms for \(D\)-modules -- restriction, tensor product, localization, and local cohomology groups
• Irreducible components of characteristic varieties.
• Minimal free resolutions of homogenized \(D\)-modules
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