{
  "id": "math/0204256",
  "version": "v1",
  "published": "2002-04-20T21:17:34.000Z",
  "updated": "2002-04-20T21:17:34.000Z",
  "title": "On the geometric genus of subvarieties of generic hypersurfaces",
  "authors": [
    "Herbert Clemens",
    "Ziv Ran"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "We prove some lower bounds on certain nonegative twists of the canonical bundle of a subvariety of a generic hypersurface in projective space. In particular we prove that the generic sextic threefold contains no rational or elliptic curves and no nondegenerate curves of genus 2.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-04-20T21:17:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14N99",
      "14J70"
    ],
    "keywords": [
      "generic hypersurface",
      "geometric genus",
      "subvariety",
      "generic sextic threefold contains",
      "lower bounds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......4256C"
    }
  }
}