Irregular hypergeometric \(\mathcal D\)-modules

DOI10.1016/j.aim.2010.01.017zbMath1236.14018arXiv0906.3478OpenAlexW2063130436MaRDI QIDQ981614

María Cruz Fernández-Fernández

Publication date: 1 July 2010

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.3478

zbMATH Keywords

Gevrey seriesslopeshypergeometric \(\mathcal D\)-modules

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Sheaves of differential operators and their modules, (D)-modules (32C38) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Commutative rings of differential operators and their modules (13N10) Hypergeometric functions (33C99)

Related Items (11)

Homology and cohomology intersection numbers of GKZ systems ⋮ On irregular binomial \(D\)-modules ⋮ Characteristic cycles and Gevrey series solutions of \(A\)-hypergeometric systems ⋮ ON MELLIN-BARNES INTEGRAL REPRESENTATIONS FOR GKZ HYPERGEOMETRIC FUNCTIONS ⋮ Nilsson solutions for irregular A-hypergeometric systems ⋮ Euler and Laplace integral representations of GKZ hypergeometric functions. II ⋮ Gevrey and formal Nilsson solutions of \(A\)-hypergeometric systems ⋮ Algebraic aspects of hypergeometric differential equations ⋮ On the local monodromy of \(A\)-hypergeometric functions and some monodromy invariant subspaces ⋮ Hypergeometric series representations of Feynman integrals by GKZ hypergeometric systems ⋮ Irregular modified $A$-hypergeometric systems

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