{
  "id": "1005.3990",
  "version": "v1",
  "published": "2010-05-21T15:29:29.000Z",
  "updated": "2010-05-21T15:29:29.000Z",
  "title": "On codimension two subvarieties in hypersurfaces",
  "authors": [
    "N. Mohan Kumar",
    "A. P. Rao",
    "G. V. Ravindra"
  ],
  "comment": "8 pages",
  "journal": "Motives and algebraic cycles, 167-174, Fields Inst. Commun., 56, Amer. Math. Soc., Providence, RI, 2009",
  "categories": [
    "math.AG"
  ],
  "abstract": "We show that for a smooth hypersurface $X\\subset \\bbP^n$ of degree at least 2, there exist arithmetically Cohen-Macaulay (ACM) codimension two subvarieties $Y\\subset X$ which are not an intersection $X\\cap{S}$ for a codimension two subvariety $S\\subset\\bbP^n$. We also show there exist $Y\\subset X$ as above for which the normal bundle sequence for the inclusion $Y\\subset X\\subset\\bbP^n$ does not split.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-05-21T15:29:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M05",
      "14J60",
      "14M07"
    ],
    "keywords": [
      "subvariety",
      "codimension",
      "normal bundle sequence",
      "smooth hypersurface"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1005.3990M"
    }
  }
}