The \({\mathcal A}\)-hypergeometric system associated with a monomial curve

DOI10.1215/S0012-7094-99-09908-8zbMath0952.33009arXivmath/9805005MaRDI QIDQ1974945

Carlos D'Andrea, Eduardo H. Cattani, Alicia Dickenstein

Publication date: 27 March 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9805005

zbMATH Keywords

\({\mathcal A}\)-hypergeometric function\({\mathcal A}\)-hypergeometric systemGKZ-systems

Mathematics Subject Classification ID

Other hypergeometric functions and integrals in several variables (33C70) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Deformations of analytic structures (32G99) Families, fibrations in algebraic geometry (14D99)

Related Items (17)

Hypergeometric functions for projective toric curves ⋮ Arbitrary rank jumps forA-hypergeometric systems through Laurent polynomials ⋮ Homological methods for hypergeometric families ⋮ Unnamed Item ⋮ Duality and monodromy reducibility of \(A\)-hypergeometric systems ⋮ Linear relations among algebraic solutions of differential equations ⋮ On the rank of an A$A$‐hypergeometric D$D$‐module versus the normalized volume of A$A$ ⋮ Exponential growth of rank jumps for \(A\)-hypergeometric systems ⋮ Euler-Mellin integrals and \(A\)-hypergeometric functions ⋮ Algebraicity of solutions to the Mellin system and its monodromy ⋮ Algebraic aspects of hypergeometric differential equations ⋮ Singularities of the hypergeometric system associated with a monomial curve ⋮ Rank jumps in codimension 2 \(A\)-hypergeometric systems. ⋮ Combinatorics of rank jumps in simplicial hypergeometric systems ⋮ Gevrey solutions of the irregular hypergeometric system associated with an affine monomial curve ⋮ Planar configurations of lattice vectors and GKZ-rational toric fourfolds in \(\mathbb P^6\) ⋮ Logarithm-free \(A\)-hypergeometric series

Cites Work

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• Über die Lösung algebraischer Gleichungssysteme durch hypergeometrische Funktionen

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