The characteristic numbers of quartic plane curves
Algebraic Geometry
2007-05-23 v1
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.
Cite
@article{arxiv.math/9812018,
title = {The characteristic numbers of quartic plane curves},
author = {Ravi Vakil},
journal= {arXiv preprint arXiv:math/9812018},
year = {2007}
}
Comments
27 pages, also available at http://www-math.mit.edu/~vakil/preprints.html