English

Enumeration of Genus-Three Plane Curves with a Fixed Complex Structure

Symplectic Geometry 2007-05-23 v1 Algebraic Geometry

Abstract

We give a practical formula for counting irreducible nodal genus-three plane curves that a fixed generic complex structure on the normalization. As an intermediate step, we enumerate rational plane curves that have a (3,4)(3,4)-cusp.

Keywords

Cite

@article{arxiv.math/0203058,
  title  = {Enumeration of Genus-Three Plane Curves with a Fixed Complex Structure},
  author = {A. Zinger},
  journal= {arXiv preprint arXiv:math/0203058},
  year   = {2007}
}

Comments

36 pages

R2 v1 2026-07-22T16:43:47.100Z