Exponential growth of rank jumps for \(A\)-hypergeometric systems

DOI10.4171/RMI/761zbMath1290.33016arXiv1201.5090MaRDI QIDQ2436064

María Cruz Fernández-Fernández

Publication date: 21 February 2014

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.5090

zbMATH Keywords

hypergeometric\(D\)-moduleholomonic rank

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Other hypergeometric functions and integrals in several variables (33C70) Commutative rings of differential operators and their modules (13N10)

Related Items (3)

Characteristic cycles and Gevrey series solutions of \(A\)-hypergeometric systems ⋮ On the rank of an A$A$‐hypergeometric D$D$‐module versus the normalized volume of A$A$ ⋮ Algebraic aspects of hypergeometric differential equations

Cites Work

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• Hypergeometric functions and rings generated by monomials
• Gröbner deformations of hypergeometric differential equations
• The \({\mathcal A}\)-hypergeometric system associated with a monomial curve
• Hypergeometric functions and toric varieties
• The rank of a hypergeometric system
• Combinatorics of rank jumps in simplicial hypergeometric systems
• Arbitrary rank jumps forA-hypergeometric systems through Laurent polynomials
• Homological methods for hypergeometric families
• Rank jumps in codimension 2 \(A\)-hypergeometric systems.

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