{
  "id": "math/0501478",
  "version": "v4",
  "published": "2005-01-26T20:18:35.000Z",
  "updated": "2007-09-13T19:52:11.000Z",
  "title": "Adjoint line bundles and syzygies of projective varieties",
  "authors": [
    "Huy Tai Ha"
  ],
  "comment": "15 pages; fix a mistake in Lemma 3.5; final version",
  "journal": "Vietnam J. Math. (2007), no. 2",
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "Let X be a smooth projective variety and let K be the canonical divisor of X. In this paper, we study embeddings of X given by adjoint line bundles of the form K+L, where L is an ample line bundle. When X is a regular surface (i.e. H^1(X, O_X) = 0), we obtain a numerical criterion for K+L to have property Np. When X is a regular variety of arbitrary dimension, under a mild condition, we give an explicit calculation for the regularity of the ideal sheaves of such embeddings.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2007-09-13T19:52:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F17",
      "13D02",
      "14J60",
      "14C20"
    ],
    "keywords": [
      "adjoint line bundles",
      "ample line bundle",
      "mild condition",
      "arbitrary dimension",
      "regular variety"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......1478H"
    }
  }
}