{
  "id": "1211.6921",
  "version": "v1",
  "published": "2012-11-29T14:05:09.000Z",
  "updated": "2012-11-29T14:05:09.000Z",
  "title": "Stability of syzygy bundles on an algebraic surface",
  "authors": [
    "Lawrence Ein",
    "Robert Lazarsfeld",
    "Yusuf Mustopa"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "Given a very ample line bundle L on a projective variety X, the syzygy bundle M_L associated to L is the kernel of the evaluation map on sections of L. Our main result is that if X is a smooth projective surface defined over an algebraically closed field, then M_L is slope-stable for any sufficiently positive L.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-11-29T14:05:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "syzygy bundle",
      "algebraic surface",
      "ample line bundle",
      "evaluation map",
      "main result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1211.6921E"
    }
  }
}