{
  "id": "1209.2939",
  "version": "v2",
  "published": "2012-09-13T15:53:35.000Z",
  "updated": "2012-09-14T04:32:07.000Z",
  "title": "A note on the linear systems on the projective bundles over Abelian varieties",
  "authors": [
    "Lei Zhang"
  ],
  "comment": "11 pages, overlap the part of the paper arXiv:1111.4798, to appear in Proc. of American Math. Society",
  "categories": [
    "math.AG"
  ],
  "abstract": "It is well known that for an ample line bundle $L$ on an Abelian variety $A$, the linear system |2L| is base point free, and 3L is very ample, moreover the map defined by the linear system |2L| is well understood. In this paper we generalized this classical result and give a new proof using the theory CGG developed by Pareschi and Popa.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-09-14T04:32:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "linear system",
      "abelian variety",
      "projective bundles",
      "ample line bundle",
      "base point free"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1209.2939Z"
    }
  }
}