{
  "id": "1505.04323",
  "version": "v1",
  "published": "2015-05-16T20:31:34.000Z",
  "updated": "2015-05-16T20:31:34.000Z",
  "title": "On the Chow ring of the Hurwitz space of degree three covers of ${\\bf P}^{1}$",
  "authors": [
    "Anand Patel",
    "Ravi Vakil"
  ],
  "comment": "18 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We determine the Chow ring (with ${\\bf Q}$-coefficients) of the Hurwitz space parametrizing degree three covers of ${\\bf P}^{1}$. We also compute the rational Picard groups of auxiliary spaces of degree three maps with special marked points. In particular, we show that the Chow ring is tautological, answering a question posed by N. Penev and the second author.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-16T20:31:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C15",
      "14C22"
    ],
    "keywords": [
      "chow ring",
      "rational picard groups",
      "hurwitz space parametrizing degree",
      "auxiliary spaces",
      "special marked points"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150504323P"
    }
  }
}