{
  "id": "1306.4283",
  "version": "v4",
  "published": "2013-06-18T18:16:30.000Z",
  "updated": "2013-08-17T01:29:20.000Z",
  "title": "Rational curves on quotients of abelian varieties by finite groups",
  "authors": [
    "Bo-Hae Im",
    "Michael Larsen"
  ],
  "comment": "10 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "In [3], it is proved that the quotient of an abelian variety $A$ by a finite order automorphism $g$ is uniruled if and only if some power of $g$ satisfies a numerical condition $0<\\age(g^k)<1$. In this paper, we show that $\\age(g^k)=1$ is enough to guarantee that $A/\\langle g\\rangle$ has at least one rational curve.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2013-08-17T01:29:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14K05"
    ],
    "keywords": [
      "abelian variety",
      "rational curve",
      "finite groups",
      "finite order automorphism",
      "numerical condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1306.4283I"
    }
  }
}