On the crossing number of arithmetic curve systems
Sebastian Baader
Universität Bern, SwitzerlandClaire Burrin
Universität Zürich, SwitzerlandLuca Studer
Berner Fachhochschule, Biel, Switzerland

Abstract
We show that the family of systoles of hyperbolic surfaces associated with congruence lattices in have asymptotically minimal crossing number.
Cite this article
Sebastian Baader, Claire Burrin, Luca Studer, On the crossing number of arithmetic curve systems. Comment. Math. Helv. (2025), published online first
DOI 10.4171/CMH/609