{
  "id": "1307.1633",
  "version": "v1",
  "published": "2013-07-05T15:09:08.000Z",
  "updated": "2013-07-05T15:09:08.000Z",
  "title": "The number of reducible space curves over a finite field",
  "authors": [
    "Eda Cesaratto",
    "Joachim von zur Gathen",
    "Guillermo Matera"
  ],
  "doi": "10.1016/j.jnt.2012.08.027",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "\"Most\" hypersurfaces in projective space are irreducible, and rather precise estimates are known for the probability that a random hypersurface over a finite field is reducible. This paper considers the parametrization of space curves by the appropriate Chow variety, and provides bounds on the probability that a random curve over a finite field is reducible.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-07-05T15:09:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G20"
    ],
    "keywords": [
      "finite field",
      "reducible space curves",
      "appropriate chow variety",
      "probability",
      "random hypersurface"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.1633C"
    }
  }
}