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The Characteristic Numbers of Quartic Plane Curves

 Printed: Oct 1999
  • Ravi Vakil
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The characteristic numbers of smooth plane quartics are computed using intersection theory on a component of the moduli space of stable maps. This completes the verification of Zeuthen's prediction of characteristic numbers of smooth plane curves. A short sketch of a computation of the characteristic numbers of plane cubics is also given as an illustration.
MSC Classifications: 14N10, 14D22 show english descriptions Enumerative problems (combinatorial problems)
Fine and coarse moduli spaces
14N10 - Enumerative problems (combinatorial problems)
14D22 - Fine and coarse moduli spaces

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