{
  "id": "0711.0550",
  "version": "v3",
  "published": "2007-11-04T22:30:13.000Z",
  "updated": "2008-06-07T18:48:27.000Z",
  "title": "Tate Resolutions for Segre Embeddings",
  "authors": [
    "David Cox",
    "Evgeny Materov"
  ],
  "comment": "21 pages, to appear in \"Algebra and Number Theory\"",
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "We give an explicit description of the terms and differentials of the Tate resolution of sheaves arising from Segre embeddings of $\\P^a\\times\\P^b$. We prove that the maps in this Tate resolution are either coming from Sylvester-type maps, or from Bezout-type maps arising from the so-called toric Jacobian.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-06-07T18:48:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "13D02",
      "14M25"
    ],
    "keywords": [
      "tate resolution",
      "segre embeddings",
      "explicit description",
      "sylvester-type maps",
      "toric jacobian"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0711.0550C"
    }
  }
}