{
  "id": "math/0209157",
  "version": "v2",
  "published": "2002-09-13T06:32:32.000Z",
  "updated": "2003-07-14T21:14:33.000Z",
  "title": "Powers of ample divisors and syzygies of projective varieties",
  "authors": [
    "Huy Tai Ha"
  ],
  "comment": "This paper has been withdrawn",
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "Suppose X is a projective variety, which needs not be smooth, and L an ample divisor on X. We show that there are integers c and b such that for any nonnegative integer p, L^d is normally generated and embeds X as a variety who defining ideal has linear syzygies upto the p-th step (i.e. L^d has property N_p) for all d >= cp + b.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-07-14T21:14:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14E25",
      "14F05"
    ],
    "keywords": [
      "ample divisor",
      "projective variety",
      "linear syzygies upto",
      "p-th step",
      "defining ideal"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......9157H"
    }
  }
}