{
  "id": "1005.3982",
  "version": "v1",
  "published": "2010-05-21T15:16:57.000Z",
  "updated": "2010-05-21T15:16:57.000Z",
  "title": "Curves on threefolds and a conjecture of Griffiths-Harris",
  "authors": [
    "G. V. Ravindra"
  ],
  "comment": "14 pages",
  "journal": "Mathematische Annalen Volume 345, Number 3 / November 2009, 731-748",
  "doi": "10.1007/s00208-009-0376-y",
  "categories": [
    "math.AG"
  ],
  "abstract": "We prove that any arithmetically Gorenstein curve on a smooth, general hypersurface $X\\subset \\bbP^{4}$ of degree at least 6, is a complete intersection. This gives a characterisation of complete intersection curves on general type hypersurfaces in $\\bbP^4$. We also verify that certain 1-cycles on a general quintic hypersurface are non-trivial elements of the Griffiths group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-05-21T15:16:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M10",
      "14C25"
    ],
    "keywords": [
      "conjecture",
      "griffiths-harris",
      "threefolds",
      "complete intersection curves",
      "general type hypersurfaces"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1005.3982R"
    }
  }
}