{
  "id": "math/0503664",
  "version": "v3",
  "published": "2005-03-29T09:09:30.000Z",
  "updated": "2006-06-27T16:01:57.000Z",
  "title": "Singularities of divisors of low degree on abelian varieties",
  "authors": [
    "Olivier Debarre",
    "Christopher Hacon"
  ],
  "comment": "Minor modifications, improved exposition. 13 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "Building on previous work of Kollar, Ein, Lazarsfeld, and Hacon, we show that ample divisors of low degree on an abelian variety have mild singularities in case the abelian variety is simple or the degree of the polarization is two.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2006-06-27T16:01:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14K05",
      "14J17",
      "14F17"
    ],
    "keywords": [
      "abelian variety",
      "low degree",
      "ample divisors",
      "mild singularities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......3664D"
    }
  }
}