English

A sharp bound for hypergeometric rank in dimension three

Algebraic Geometry 2023-01-12 v1 Commutative Algebra

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.

Keywords

Cite

@article{arxiv.2301.04569,
  title  = {A sharp bound for hypergeometric rank in dimension three},
  author = {Christine Berkesch and María-Cruz Fernández-Fernández},
  journal= {arXiv preprint arXiv:2301.04569},
  year   = {2023}
}

Comments

9 pages

R2 v1 2026-06-28T08:09:30.139Z