English

Moduli Spaces of Rational Graphically Stable Curves

Algebraic Geometry 2025-10-08 v1

Abstract

We use a graph to define a new stability condition for algebraic moduli spaces of rational curves. We characterize when the tropical compactification of the moduli space agrees with the theory of geometric tropicalization. The characterization statement occurs only when the graph is complete multipartite.

Keywords

Cite

@article{arxiv.2212.08157,
  title  = {Moduli Spaces of Rational Graphically Stable Curves},
  author = {Andy Fry},
  journal= {arXiv preprint arXiv:2212.08157},
  year   = {2025}
}
R2 v1 2026-06-28T07:37:50.604Z