English

Strongly Obtuse Rational Lattice Triangles

Dynamical Systems 2020-09-02 v1

Abstract

We classify rational triangles which unfold to Veech surfaces when the largest angle is at least 3π4\frac{3\pi}{4}. When the largest angle is greater than 2π3\frac{2\pi}{3}, we show that the unfolding is not Veech except possibly if it belongs to one of six infinite families. Our methods include a criterion of Mirzakhani and Wright that built on work of M\"oller and McMullen, and in most cases show that the orbit closure of the unfolding cannot have rank 1.

Keywords

Cite

@article{arxiv.2009.00174,
  title  = {Strongly Obtuse Rational Lattice Triangles},
  author = {Anne Larsen and Chaya Norton and Bradley Zykoski},
  journal= {arXiv preprint arXiv:2009.00174},
  year   = {2020}
}
R2 v1 2026-06-23T18:13:38.466Z