{
  "id": "1206.2663",
  "version": "v3",
  "published": "2012-06-12T20:30:56.000Z",
  "updated": "2013-11-18T12:02:58.000Z",
  "title": "Ax-Lindemann for \\mathcal{A}_g",
  "authors": [
    "Jonathan Pila",
    "Jacob Tsimerman"
  ],
  "comment": "21 pages. Accepted for publication in Annals of Mathematics",
  "categories": [
    "math.NT",
    "math.LO"
  ],
  "abstract": "We prove the Ax-Lindemann theorem for the coarse moduli space $\\mathcal{A}_{g}$ of principally polarized abelian varieties of dimension $g\\ge 1$, and affirm the Andr\\'e-Oort conjecture unconditionally for $\\mathcal{A}_{g}$ for $g\\le 6$.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-11-18T12:02:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G18"
    ],
    "keywords": [
      "coarse moduli space",
      "principally polarized abelian varieties",
      "ax-lindemann theorem",
      "andre-oort conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1206.2663P"
    }
  }
}