The analytic standard fan of a \(\mathcal D\)-module

DOI10.1016/S0022-4049(00)00142-0zbMath1001.32005OpenAlexW2118776326MaRDI QIDQ5951554

Francisco-Jesús Castro-Jiménez, Abdallah Assi, Michel Granger

Publication date: 17 December 2002

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

Full work available at URL: https://doi.org/10.1016/s0022-4049(00)00142-0

zbMATH Keywords

homogenization\({\mathcal D}\)-module

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Sheaves of differential operators and their modules, (D)-modules (32C38) Commutative rings of differential operators and their modules (13N10)

Related Items (11)

On the tropicalization of D-ideals ⋮ Minimal filtered free resolutions for analytic \(D\)-modules. ⋮ Gröbner fans of \(x\)-homogeneous ideals in \(R [\![ t \!][x]\)] ⋮ Gröbner fan for analytic \(D\)-modules with parameters. ⋮ Local Gröbner fans ⋮ On canonical bases of a formal 𝕂-algebra ⋮ The Gröbner fan and Gröbner walk for modules ⋮ Tangent cone algorithm for homogenized differential operators ⋮ A flatness property for filtered \(D\)-modules ⋮ Minimal resolutions of geometric \(\mathcal D\)-modules ⋮ Regular \(b\)-functions of \(D\)-modules

Cites Work

• The Gröbner fan of an ideal
• The Gröbner fan of an \(A_n\)-module
• Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems
• Polygône de Newton et $b$-fonctions pour les modules microdifférentiels
• Pentes algébriques et pentes analytiques d'un -module
• What can be computed in algebraic geometry?
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