Singularities of the hypergeometric system associated with a monomial curve

DOI10.1090/S0002-9947-03-03300-2zbMath1060.33023MaRDI QIDQ4417287

Nobuki Takayama, Francisco-Jesús Castro-Jiménez

Publication date: 28 July 2003

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

singularities of solutionshypergeometric systemACG algorithm

Mathematics Subject Classification ID

Sheaves of differential operators and their modules, (D)-modules (32C38) Hypergeometric functions (33C99)

Related Items (12)

Slopes of hypergeometric systems of codimension one ⋮ On irregular binomial \(D\)-modules ⋮ Nilsson solutions for irregular A-hypergeometric systems ⋮ Irregularity of hypergeometric systems via slopes along coordinate subspaces ⋮ Gevrey solutions of irregular hypergeometric systems in two variables ⋮ Irregular hypergeometric \(\mathcal D\)-modules ⋮ 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 ⋮ Restriction of hypergeometric 𝒟-modules with respect to coordinate subspaces ⋮ Dualizing, projecting, and restricting GKZ systems ⋮ Irregular modified $A$-hypergeometric systems

Uses Software

• Macaulay2
• D-modules
• OpenXM

Cites Work

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• Siegel normality
• Hypergeometric functions and rings generated by monomials
• Algorithms for \(b\)-functions, restrictions, and algebraic local cohomology groups of \(D\)-modules
• A localization algorithm for \(D\)-modules
• The Gröbner fan of an \(A_n\)-module
• Gröbner deformations of hypergeometric differential equations
• The \({\mathcal A}\)-hypergeometric system associated with a monomial curve
• Théorie de la deuxième microlocalisation dans le domaine complexe
• Hypergeometric functions and toric varieties
• Polygône de Newton et $b$-fonctions pour les modules microdifférentiels
• Pentes algébriques et pentes analytiques d'un -module

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