{
  "id": "1506.02713",
  "version": "v1",
  "published": "2015-06-08T22:12:17.000Z",
  "updated": "2015-06-08T22:12:17.000Z",
  "title": "Topology and arithmetic of resultants, I: spaces of rational maps",
  "authors": [
    "Benson Farb",
    "Jesse Wolfson"
  ],
  "categories": [
    "math.AG",
    "math.AT",
    "math.GT",
    "math.NT"
  ],
  "abstract": "We consider the interplay of point counts, singular cohomology, \\'etale cohomology, eigenvalues of the Frobenius and the Grothendieck ring of varieties for two families of varieties: spaces of rational maps and moduli spaces of marked, degree $d$ rational curves in $\\mathbb{P}^n$. We deduce as special cases algebro-geometric and arithmetic refinements of topological computations of Segal, Cohen--Cohen--Mann--Milgram, Vassiliev and others.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-08T22:12:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "rational maps",
      "resultants",
      "special cases algebro-geometric",
      "arithmetic refinements",
      "point counts"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150602713F"
    }
  }
}