{
  "id": "1012.4226",
  "version": "v2",
  "published": "2010-12-20T01:23:24.000Z",
  "updated": "2012-12-13T12:52:35.000Z",
  "title": "Syzygies of surfaces of general type",
  "authors": [
    "P. Banagere",
    "Krishna Hanumanthu"
  ],
  "comment": "29 pages. Minor corrections and some changes in exposition. To be published in Geometriae Dedicata",
  "doi": "10.1007/s10711-012-9806-1",
  "categories": [
    "math.AG"
  ],
  "abstract": "We prove new results on projective normality, normal presentation and higher syzygies for a surface of general type $X$ embedded by adjoint line bundles $L_r = K + rB$, where $B$ is a base point free, ample line bundle. Our main results determine the $r$ for which $L_r$ has $N_p$ property. In corollaries, we will relate the bounds on $r$ to the regularity of $B$. Examples in the last section show that several results are optimal.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-12-13T12:52:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "13D02",
      "14C20",
      "14J29"
    ],
    "keywords": [
      "general type",
      "adjoint line bundles",
      "base point free",
      "ample line bundle",
      "main results determine"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.4226B"
    }
  }
}