{
  "id": "1106.0124",
  "version": "v1",
  "published": "2011-06-01T09:05:04.000Z",
  "updated": "2011-06-01T09:05:04.000Z",
  "title": "Varieties Connected by Chains of Lines",
  "authors": [
    "Simone Marchesi",
    "Alex Massarenti"
  ],
  "comment": "8 pages",
  "doi": "10.1007/s10711-012-9817-y",
  "categories": [
    "math.AG"
  ],
  "abstract": "In this paper we give for any integer l > 2 a numerical criterion ensuring the existence of a chain of length l of lines through two general points of an irreducible variety X in P^N, involving the degrees and the number of homogeneous polynomials defining X. We show that our criterion is sharp.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-06-01T09:05:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M99",
      "14N05",
      "14J45",
      "14M07"
    ],
    "keywords": [
      "general points",
      "numerical criterion",
      "irreducible variety"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1106.0124M"
    }
  }
}