{
  "id": "math/0609523",
  "version": "v1",
  "published": "2006-09-19T12:14:33.000Z",
  "updated": "2006-09-19T12:14:33.000Z",
  "title": "On the classification of certain hypersurfaces in CP^4",
  "authors": [
    "Yang Su"
  ],
  "comment": "19 pages",
  "categories": [
    "math.GT",
    "math.AG"
  ],
  "abstract": "In this paper the singular hypersurfaces in $\\mathbb{C}\\mathrm{P}^4$ of degree $d$ with an isolated singularity are studied. If the singularity is of type $A_{2k+1}$, under the condition $d<(k+5)/2$, a classification of such hypersurfaces upto homeomorphism (which is diffeomorphism on the nonsingular part) is obtained. As an application, cubic hypersurfaces with an $A_5$-singularity are constructed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-09-19T12:14:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "classification",
      "hypersurfaces upto homeomorphism",
      "singular hypersurfaces",
      "nonsingular part",
      "cubic hypersurfaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......9523S"
    }
  }
}