{
  "id": "math/0309265",
  "version": "v2",
  "published": "2003-09-16T17:02:12.000Z",
  "updated": "2003-09-17T21:34:14.000Z",
  "title": "Injectivity of the symmetric map for line bundles",
  "authors": [
    "Montserrat Teixidor i Bigas"
  ],
  "comment": "To appear in Manuscripta Mathematica. No changes in the paper. Word \"generic\" added to the abstract",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let C be a generic non-singular curve of genus g defined over a field of characteristic different from 2. We show that for every line bundle on C of degree at most g+1, the natural product map S^2(H^0(L))\\to H^0(C,L^2) is injective. We also show that the bound on the degree of L is sharp.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-09-17T21:34:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H60"
    ],
    "keywords": [
      "line bundle",
      "symmetric map",
      "injectivity",
      "generic non-singular curve",
      "natural product map"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......9265B"
    }
  }
}