A sharp bound for hypergeometric rank in dimension three

DOI10.1007/S00029-024-00987-7MaRDI QIDQ6624723

María Cruz Fernández-Fernández, Christine Berkesch Zamaere

Publication date: 28 October 2024

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

zbMATH Keywords

rank jumpA-hypergeometric system

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Other hypergeometric functions and integrals in several variables (33C70) Sheaves of differential operators and their modules, (D)-modules (32C38) Commutative rings of differential operators and their modules (13N10)

Cites Work

• Resonance equals reducibility for \(A\)-hypergeometric systems
• Hypergeometric functions and rings generated by monomials
• A correction to the paper ``Hypergeometric functions and toric varieties
• Gröbner deformations of hypergeometric differential equations
• The \({\mathcal A}\)-hypergeometric system associated with a monomial curve
• Exponential growth of rank jumps for \(A\)-hypergeometric systems
• The rank of a hypergeometric system
• A-Hypergeometric ranks for toric threefolds
• On the parametric behavior of $A$-hypergeometric series
• Classification of Gorenstein Toric Del Pezzo Varieties in arbitrary dimension
• Homological methods for hypergeometric families
• On the rank of an A$A$‐hypergeometric D$D$‐module versus the normalized volume of A$A$
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