The characteristic numbers of quartic plane curves

Details The characteristic numbers of quartic plane curves The characteristic numbers of quartic plane curves

1998-12-02

arxiv.org/abs/math/9812018v1

Mathematics

Algebraic Geometry

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

Scientific paper

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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