{
  "id": "1602.01791",
  "version": "v1",
  "published": "2016-02-04T19:00:04.000Z",
  "updated": "2016-02-04T19:00:04.000Z",
  "title": "On the characterization of abelian varieties in characteristic $p>0$",
  "authors": [
    "Christopher Hacon",
    "Zsolt Patakfalvi"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "We show that if $X$ is a smooth projective variety over an algebraically closed field of characteristic $p>0$ such that $\\kappa (X)=0$ and the Albanese morphism is generically finite with degree not divisible by $p$, then $X$ is birational to an abelian variety. We also treat the cases when $a$ is separable (possibly with degree divisible by $p$) and $A$ is either supersingular or ordinary.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-04T19:00:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14E99",
      "14K05",
      "14K15"
    ],
    "keywords": [
      "abelian variety",
      "characteristic",
      "characterization",
      "albanese morphism",
      "smooth projective variety"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160201791H"
    }
  }
}