{
  "id": "1704.01679",
  "version": "v1",
  "published": "2017-04-06T01:22:30.000Z",
  "updated": "2017-04-06T01:22:30.000Z",
  "title": "Instability and Singularity of Projective Hypersurfaces",
  "authors": [
    "Cheolgyu Lee"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "In this paper, we will show that the Hesselink stratification of a Hilbert scheme of hypersurfaces is independent of the choice of Pl\\\"ucker coordinate and there is a positive relation between the length of Hesselink's worst virtual 1-parameter subgroup and multiplicity of a projective hypersurface.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-06T01:22:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14L24"
    ],
    "keywords": [
      "projective hypersurface",
      "instability",
      "singularity",
      "hesselinks worst virtual",
      "hilbert scheme"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}