Compact Moduli Spaces of Marked Cubic Plane Curves
Algebraic Geometry
2026-02-03 v2
Abstract
We study compactifications of the moduli space of a plane cubic curve marked by labeled points up to projective equivalence via Geometric Invariant Theory (GIT). Specifically, we provide a complete description of the GIT walls and show that the moduli-theoretic wall-crossing can be understood through analysis of the singularities of the plane curves and the position of the points.
Keywords
Cite
@article{arxiv.2501.14927,
title = {Compact Moduli Spaces of Marked Cubic Plane Curves},
author = {Aaron Goodwin},
journal= {arXiv preprint arXiv:2501.14927},
year = {2026}
}