{
  "id": "math/0606138",
  "version": "v1",
  "published": "2006-06-06T17:09:15.000Z",
  "updated": "2006-06-06T17:09:15.000Z",
  "title": "On morphisms onto quadrics",
  "authors": [
    "Ekaterina Amerik"
  ],
  "comment": "3 pages, LaTeX. A theorem claimed a long time ago but never written down",
  "categories": [
    "math.AG"
  ],
  "abstract": "It is proved that the degree of a morphism from a smooth projective n-fold with Picard number one to a smooth n-quadric is bounded (provided, of course, that n is at least three). Actually it has been proved some years ago, but I have never written down the proof, until J.-M. Hwang suggested, recently, that I do.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-06-06T17:09:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "picard number",
      "smooth projective n-fold",
      "smooth n-quadric"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......6138A"
    }
  }
}