{
  "id": "0712.2364",
  "version": "v1",
  "published": "2007-12-14T14:55:14.000Z",
  "updated": "2007-12-14T14:55:14.000Z",
  "title": "Singularities of the Secant Variety",
  "authors": [
    "Pete Vermeire"
  ],
  "comment": "6 pages",
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "We give positivity conditions on the embedding of a smooth variety which guarantee the normality of the secant variety, generalizing earlier results of the author and others. We also give classes of secant varieties satisfying the Hodge conjecture as well as a result on the singular locus of degenerate secant varieties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-12-14T14:55:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14N15",
      "14B05"
    ],
    "keywords": [
      "secant variety",
      "singularities",
      "degenerate secant varieties",
      "positivity conditions",
      "smooth variety"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0712.2364V"
    }
  }
}