On the crossing number of arithmetic curve systems

URI
Version
Published
Date Issued
2025-11-24
Author(s)
Baader, Sebastian
Burrin, Claire
Type
journal-article
Language
English
Subjects

Arithmetic curve syst...

Abstract
We show that the family of systoles of hyperbolic surfaces associated with congruence lattices in SL2​(Z) have asymptotically minimal crossing number.
DOI
Publisher DOI
Journal or Serie
Commentarii Mathematici Helvetici
Journal or Serie
Commentarii Mathematici Helvetici
ISSN
0010-2571
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Organization
Publisher
European Mathematical Society - EMS - Publishing House GmbH
Submitter
Studer, Ben Luca
Citation apa
Baader, S., Burrin, C., & Studer, B. L. (2025). On the crossing number of arithmetic curve systems. In Commentarii Mathematici Helvetici (pp. 1–8). European Mathematical Society - EMS - Publishing House GmbH. https://doi.org/10.24451/arbor.12970
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2403.05194v1.pdf

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This version can also be downloaded on https://arxiv.org/abs/2403.05194

It is the version from before the peer-reviewing process at CMH. In the peer-reviewing process only minor changes have been done.
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