scientific article; zbMATH DE number 957489

zbMath0862.32005MaRDI QIDQ5687439

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

Publication date: 12 December 1996

Full work available at URL: http://www.numdam.org/item?id=CM_1996__104_2_107_0

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zbMATH Keywords

Newton polygoncritical indexslope of a coherent \(D\)-module

Mathematics Subject Classification ID

Sheaves of differential operators and their modules, (D)-modules (32C38) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10)

Related Items (15)

Slopes of hypergeometric systems of codimension one ⋮ Nilsson solutions for irregular A-hypergeometric systems ⋮ Irregularity of hypergeometric systems via slopes along coordinate subspaces ⋮ Algorithmic stratification of \(\mathbb R\Hom_{\mathcal D}(\mathcal M, \mathcal N)\) for regular algebraic \(\mathcal D\)-modules on \(\mathbb C^n\) ⋮ Perfect bases for differential equations ⋮ A flatness property for filtered \(D\)-modules ⋮ Algorithms for \(D\)-modules -- restriction, tensor product, localization, and local cohomology groups ⋮ The analytic standard fan of a \(\mathcal D\)-module ⋮ Singularities of the hypergeometric system associated with a monomial curve ⋮ Irregular hypergeometric systems associated with a singular monomial curve ⋮ Gevrey solutions of the irregular hypergeometric system associated with an affine monomial curve ⋮ Regular \(b\)-functions of \(D\)-modules ⋮ An algorithm for de Rham cohomology groups of the complement of an affine variety via \(D\)-module computation ⋮ Irregular modified $A$-hypergeometric systems ⋮ Involutive bases in the Weyl algebra.

Cites Work

• Standard bases, critical tropisms and flatness
• Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems
• Théorèmes d’indices Gevrey pour les équations différentielles ordinaires
• Polygône de Newton et $b$-fonctions pour les modules microdifférentiels
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