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arXiv · 2009.00174

Strongly Obtuse Rational Lattice Triangles

Anne Larsen·Chaya Norton·Bradley Zykoski
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Abstract

We classify rational triangles which unfold to Veech surfaces when the largest angle is at least $\frac{3\pi}{4}$. When the largest angle is greater than $\frac{2\pi}{3}$, 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.

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Anne Larsen, Chaya Norton, Bradley Zykoski. 2020-09-01. Strongly Obtuse Rational Lattice Triangles. https://arxiv.org/abs/2009.00174

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