{
  "id": "0904.4659",
  "version": "v1",
  "published": "2009-04-29T16:38:45.000Z",
  "updated": "2009-04-29T16:38:45.000Z",
  "title": "Noether-Lefschetz Theory and Néron-Severi Group",
  "authors": [
    "Vincenzo Di Gennaro",
    "Davide Franco"
  ],
  "comment": "8 pages",
  "doi": "10.1142/S0129167X11007483",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let $Z$ be a closed subscheme of a smooth complex projective complete intersection variety $Y\\subseteq \\Ps^N$, with $dim Y=2r+1\\geq 3$. We describe the N\\'eron-Severi group $NS_r(X)$ of a general smooth hypersurface $X\\subset Y$ of sufficiently large degree containing $Z$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-04-29T16:38:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C25",
      "14D05",
      "32S55",
      "14C20",
      "14C30",
      "14M10"
    ],
    "keywords": [
      "néron-severi group",
      "noether-lefschetz theory",
      "smooth complex projective complete intersection",
      "complex projective complete intersection variety",
      "general smooth hypersurface"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0904.4659D"
    }
  }
}