{
  "id": "1801.07034",
  "version": "v1",
  "published": "2018-01-22T10:41:41.000Z",
  "updated": "2018-01-22T10:41:41.000Z",
  "title": "On syzygies of Segre embeddings of $P^1\\times P^1$",
  "authors": [
    "Alexander Lemmens"
  ],
  "comment": "23 pages",
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "We construct a nonminimal graded free resolution of Segre embeddings of $P^1\\times P^1$, although we don't compute all maps. We use this to prove an explicit formula for certain nonzero entries in the graded Betti table, at the end of the first row. We work over an arbitrary field $k$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-01-22T10:41:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "13D02"
    ],
    "keywords": [
      "segre embeddings",
      "nonminimal graded free resolution",
      "arbitrary field",
      "explicit formula",
      "nonzero entries"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}