English

The density of rational points on $\mathbb{P}^1$ with three stacky points

Number Theory 2020-11-13 v1

Abstract

In this paper we consider the density of rational points on the "stacky" curve X(P1;0,2;1,2;,2)\mathcal{X}(\mathbb{P}^1;0,2;1,2;\infty,2) which is P1\mathbb{P}^1 with three half points, with respect to the so-called Ellenberg-Satriano-Zuerick-Brown height. In particular, we prove a conjecture of Ellenberg.

Keywords

Cite

@article{arxiv.2011.06586,
  title  = {The density of rational points on $\mathbb{P}^1$ with three stacky points},
  author = {Brett Nasserden and Stanley Yao Xiao},
  journal= {arXiv preprint arXiv:2011.06586},
  year   = {2020}
}
R2 v1 2026-06-23T20:09:23.757Z