{
  "id": "math/0302006",
  "version": "v1",
  "published": "2003-01-31T21:39:55.000Z",
  "updated": "2003-01-31T21:39:55.000Z",
  "title": "Morphisms from Quintic Threefolds to Cubic Threefolds are Constant",
  "authors": [
    "David Sheppard"
  ],
  "comment": "22 pages, second paper of thesis",
  "categories": [
    "math.AG"
  ],
  "abstract": "We show that every morphism from a degree 5 hypersurface in 4-dimensional projective space to a nonsingular degree 3 hypersurface in 4-dimensional projective space is necessarily constant. In the process, we also classify morphisms from the projective plane to nonsingular cubic threefolds given by degree 3 polynomials.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-01-31T21:39:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J30",
      "14J70",
      "14N25"
    ],
    "keywords": [
      "quintic threefolds",
      "nonsingular cubic threefolds",
      "projective space",
      "hypersurface",
      "nonsingular degree"
    ],
    "tags": [
      "dissertation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......2006S"
    }
  }
}