{
  "id": "math/9810010",
  "version": "v5",
  "published": "1998-10-02T14:52:02.000Z",
  "updated": "2006-05-12T19:12:25.000Z",
  "title": "A local proof of Petri's conjecture at the general curve",
  "authors": [
    "Herbert Clemens"
  ],
  "comment": "Correction of a mistake in the proof of Theorem 3.3",
  "categories": [
    "math.AG"
  ],
  "abstract": "A proof of Petri's general conjecture on the unobstructedness of linear systems on a general curve is proposed, using only the local properties of the deformation space of the pair (curve, line bundle).",
  "revisions": [
    {
      "version": "v5",
      "updated": "2006-05-12T19:12:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14D15",
      "14H40",
      "14D15"
    ],
    "keywords": [
      "general curve",
      "petris conjecture",
      "local proof",
      "petris general conjecture",
      "line bundle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math.....10010C"
    }
  }
}