{
  "id": "1012.2186",
  "version": "v1",
  "published": "2010-12-10T06:37:27.000Z",
  "updated": "2010-12-10T06:37:27.000Z",
  "title": "The varieties of tangent lines to hypersurfaces in projective spaces",
  "authors": [
    "Atsushi Ikeda"
  ],
  "comment": "10 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "For a hypersurface in a projective space, we consider the set of pairs of a point and a line in the projective space such that the line intersects the hypersurface at the point with a fixed multiplicity. We prove that this set of pairs forms a smooth variety for a general hypersurface.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-12-10T06:37:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C05",
      "14M15"
    ],
    "keywords": [
      "projective space",
      "tangent lines",
      "general hypersurface",
      "smooth variety",
      "pairs forms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.2186I"
    }
  }
}