The analytic standard fan of a \(\mathcal D\)-module
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Publication:5951554
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
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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