scientific article; zbMATH DE number 957489
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Publication:5687439
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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Sheaves of differential operators and their modules, (D)-modules (32C38) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10)
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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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