{
  "id": "math/0611135",
  "version": "v1",
  "published": "2006-11-06T12:04:35.000Z",
  "updated": "2006-11-06T12:04:35.000Z",
  "title": "On the Belyi degree of a number field",
  "authors": [
    "Leonardo Zapponi"
  ],
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "In this short note we introduce the Belyi degree of a number field K, which is the smallest degree of a dessin d'enfant having K as field of moduli. After the description of some general properties (for example, the fact that there exist finitely many number fields of bounded Belyi degree), we give a lower and an upper bound for such an invariant. We finally give some explicit examples for quadratic fields.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-11-06T12:04:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "number field",
      "explicit examples",
      "short note",
      "upper bound",
      "smallest degree"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....11135Z"
    }
  }
}