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arXiv · 2403.05194

On the crossing number of arithmetic curve systems

Sebastian Baader·Claire Burrin·Luca Studer
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Abstract

We show that the family of systoles of hyperbolic surfaces associated with congruence lattices in $\mathrm{SL}_2(\mathbb{Z})$ have asymptotically minimal crossing number.

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Sebastian Baader, Claire Burrin, Luca Studer. 2024-03-08. On the crossing number of arithmetic curve systems. https://arxiv.org/abs/2403.05194

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