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The characteristic numbers of quartic plane curves

Ravi Vakil
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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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Ravi Vakil. 1998-12-02. The characteristic numbers of quartic plane curves. https://arxiv.org/abs/math/9812018

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