{
  "id": "math/0004095",
  "version": "v2",
  "published": "2000-04-14T15:28:30.000Z",
  "updated": "2000-08-10T12:03:36.000Z",
  "title": "Line bundles of type (1,,,1,2,,,2,4,,,4) on Abelian Varieties",
  "authors": [
    "Jaya N. Iyer"
  ],
  "comment": "20 pages. Revised version",
  "categories": [
    "math.AG"
  ],
  "abstract": "We show birationality of the morphism associated to line bundles $L$ of type $(1,...,1,2,...,2,4,...,4)$ on a generic $g-$dimensional abelian variety into its complete linear system such that $h^0(L)=2^g$. When $g=3$, we describe the image of the abelian threefold and from the geometry of the moduli space $SU_C(2)$ in the linear system $|2\\theta_C|$, we obtain analogous results in $\\p H^0(L)$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2000-08-10T12:03:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C20",
      "14J17",
      "14J30",
      "14K10",
      "14K25"
    ],
    "keywords": [
      "line bundles",
      "dimensional abelian variety",
      "complete linear system",
      "moduli space",
      "abelian threefold"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......4095I"
    }
  }
}