{
  "id": "1007.4644",
  "version": "v2",
  "published": "2010-07-27T09:14:10.000Z",
  "updated": "2010-09-01T08:54:50.000Z",
  "title": "Irreducibility of A-hypergeometric systems",
  "authors": [
    "F. Beukers"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "We give an elementary proof of the Gel'fand-Kapranov-Zelevinsky theorem that non-resonant A-hypergeometric systems are irreducible. We also provide a proof of a converse statement In this second version we have removed the condition of saturatedness in Theorems 1.2 and 1.3. In Theorem 1.3 it is replaced by the condition of Cohen-Macaulayness of the toric ideal.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-09-01T08:54:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "irreducibility",
      "non-resonant a-hypergeometric systems",
      "gelfand-kapranov-zelevinsky theorem",
      "elementary proof",
      "converse statement"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1007.4644B"
    }
  }
}