Topology and arithmetic of resultants , I : spaces of rational maps

  title={Topology and arithmetic of resultants , I : spaces of rational maps},
  author={Benson Farb and James K. Wolfson},
We consider the interplay of point counts, singular cohomology, étale 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 P. We deduce as special cases algebro-geometric and arithmetic refinements of topological computations of Segal, Cohen–Cohen–Mann–Milgram, Vassiliev and others. 

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