A sharp bound for hypergeometric rank in dimension three

2023/01/11 by Christine Berkesch, Berkesch, Christine, María‐Cruz Fernández‐Fernández +1
Computer Science · Mathematics · #Polynomial and algebraic computation #Commutative Algebra and Its Applications #Algebraic Geometry and Number Theory

paper · pdf · doi:10.48550/arxiv.2301.04569

Abstract

We provide a sharp upper bound on the quotient of the rank of an A-hypergeometric system with a three-dimensional torus action by the normalized volume of A; in this case, the upper bound is two.

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