The characteristic numbers of quartic plane curves
Abstract
Description
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.
27 pages, also available at http://www-math.mit.edu/~vakil/preprints.html
27 pages, also available at http://www-math.mit.edu/~vakil/preprints.html