{
  "id": "math/0611925",
  "version": "v1",
  "published": "2006-11-29T17:58:09.000Z",
  "updated": "2006-11-29T17:58:09.000Z",
  "title": "A counterexample to the maximality of toric varieties",
  "authors": [
    "Valerie Hower"
  ],
  "comment": "3 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We present a counterexample to the conjecture of Bihan, Franz, McCrory, and van Hamel concerning the maximality of toric varieties. There exists a six dimensional projective toric variety X with the sum of the mod 2 Betti numbers of X(R) strictly less than the sum of the mod 2 Betti numbers of X(C).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-11-29T17:58:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M25",
      "05B35"
    ],
    "keywords": [
      "counterexample",
      "maximality",
      "betti numbers",
      "dimensional projective toric variety",
      "van hamel concerning"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....11925H"
    }
  }
}