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Benson Farb and Jesse Wolfson
Topology and arithmetic of resultants, I view print
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| Published: |
August 3, 2016 |
| Keywords: |
0-cycles, rational maps |
| Subject: |
Primary: 55R80; secondary: 14N20 |
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Abstract
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 Pn. 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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| Acknowledgements
B.F. is supported in part by NSF Grant Nos. DMS-1105643 and DMS-1406209. J.W. is supported in part by NSF Grant No. DMS-1400349.
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| Author information
Benson Farb:
Dept. of Mathematics, University of Chicago, 5734 S. University Avenue, Chicago, IL 60637
farb@math.uchicago.edu
Jesse Wolfson:
Dept. of Mathematics, University of Chicago, 5734 S. University Avenue, Chicago, IL 60637
wolfson@math.uchicago.edu
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