{
  "id": "2301.04569",
  "version": "v1",
  "published": "2023-01-11T16:52:41.000Z",
  "updated": "2023-01-11T16:52:41.000Z",
  "title": "A sharp bound for hypergeometric rank in dimension three",
  "authors": [
    "Christine Berkesch",
    "María-Cruz Fernández-Fernández"
  ],
  "comment": "9 pages",
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-01-11T16:52:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "13N10",
      "32C38",
      "33C70",
      "14M25"
    ],
    "keywords": [
      "hypergeometric rank",
      "sharp bound",
      "three-dimensional torus action",
      "sharp upper bound",
      "a-hypergeometric system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}