The Characteristic Numbers of Quartic Plane Curves

Author:

Vakil Ravi

Abstract

AbstractThe 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.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 11 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The enumerative geometry of cubic hypersurfaces: point and line conditions;Collectanea Mathematica;2023-05-03

2. Limits of dual curves via foliations;Journal of Pure and Applied Algebra;2021-11

3. A compactification of the moduli space of self-maps of $\mathbb {CP}^1$ via stable maps;Conformal Geometry and Dynamics of the American Mathematical Society;2017-10-12

4. Tensored Segre classes;Journal of Pure and Applied Algebra;2017-06

5. A Note on Planarity Stratification of Hurwitz Spaces;Canadian Mathematical Bulletin;2015-09-01

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