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The characteristic numbers of quartic plane curves

1998/12/02 by Ravi Vakil, Vakil, Ravi
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.math/9812018

27 pages, also available at http://www-math.mit.edu/~vakil/preprints.html

arxiv created 1998/12/02 · arxiv updated 2009/11/30

Abstract

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.

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