{
  "id": "math/9903184",
  "version": "v1",
  "published": "1999-03-30T19:42:20.000Z",
  "updated": "1999-03-30T19:42:20.000Z",
  "title": "Characterization of Abelian Varieties",
  "authors": [
    "Jungkai A. Chen",
    "Christopher D. Hacon"
  ],
  "comment": "10 pages, amstex",
  "categories": [
    "math.AG"
  ],
  "abstract": "We prove that any smooth complex projective variety $X$ with plurigenera $P_1(X)=P_2(X)=1$ and irregularity $q(X)=dim (X)$ is birational to an abelian variety.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-03-30T19:42:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H45",
      "14H99"
    ],
    "keywords": [
      "abelian variety",
      "characterization",
      "smooth complex projective variety"
    ],
    "note": {
      "typesetting": "AMS-TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999math......3184C"
    }
  }
}