{
  "id": "1604.05041",
  "version": "v1",
  "published": "2016-04-18T08:50:03.000Z",
  "updated": "2016-04-18T08:50:03.000Z",
  "title": "Belyi's theorem for complete intersections of general type",
  "authors": [
    "Ariyan Javanpeykar"
  ],
  "comment": "14 pages",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "We give a Belyi-type characterisation of smooth complete intersections of general type over $\\mathbb{C}$ which can be defined over $\\bar{\\mathbb{Q}}$. Our proof uses the higher-dimensional analogue of the Shafarevich boundedness conjecture for families of canonically polarized varieties, finiteness results for maps to varieties of general type, and rigidity theorems for Lefschetz pencils of complete intersections.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-04-18T08:50:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "general type",
      "belyis theorem",
      "smooth complete intersections",
      "shafarevich boundedness conjecture",
      "higher-dimensional analogue"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160405041J"
    }
  }
}