{
  "id": "math/0402328",
  "version": "v1",
  "published": "2004-02-20T06:00:41.000Z",
  "updated": "2004-02-20T06:00:41.000Z",
  "title": "Syzygies, regularity and toric varieties",
  "authors": [
    "Milena Hering"
  ],
  "comment": "7 pages",
  "categories": [
    "math.AG",
    "math.CO"
  ],
  "abstract": "Let A be an ample line bundle on a projective toric variety X of dimension n. We show that if l>=n-1+p, then A^l satisfies the property N_p. Applying similar methods, we obtain a combinatorial theorem: For a given lattice polytope P we give a criterion for an integer m to guarantee that mP is normal.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-02-20T06:00:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M25",
      "13D02",
      "14C20",
      "52B20"
    ],
    "keywords": [
      "regularity",
      "ample line bundle",
      "projective toric variety",
      "applying similar methods",
      "combinatorial theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......2328H"
    }
  }
}