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The Characteristic Numbers of Quartic Plane Curves

Published online by Cambridge University Press:  20 November 2018

Ravi Vakil
Ravi Vakil*
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, 77 Massachusetts Ave., Cambridge, MA 02139, USA email: vakil@math.mit.edu
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Abstract

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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.

Keywords

14N1014D22
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 51 , Issue 5 , 01 October 1999 , pp. 1089 - 1120
Copyright
Copyright © Canadian Mathematical Society 1999

References

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