On the crossing number of arithmetic curve systems

We show that the family of systoles of hyperbolic surfaces associated with congruence lattices in SL2​(Z) have asymptotically minimal crossing number.

Authors

Publication Details

Journal
BFH: ARBOR
Published
2025-11-24
DOI
https://doi.org/10.24451/arbor.12970
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00
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article

On the crossing number of arithmetic curve systems

Sebastian Baader, Claire Burrin, Ben Luca Studer
BFH: ARBOR
Geometric and Algebraic Topology
article

On the crossing number of arithmetic curve systems

Sebastian Baader, Claire Burrin, Ben Luca Studer
article en

Abstract

We show that the family of systoles of hyperbolic surfaces associated with congruence lattices in SL2​(Z) have asymptotically minimal crossing number.

BFH: ARBOR
Openalex Percentile: Top 16%
Geometric and Algebraic Topology
DOIOpen Access PDFOpenAlex
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On the crossing number of arithmetic curve systems — Sebastian Baader, Claire Burrin, et al. · BFH: ARBOR (2025) | TGRS Research Map | TGRS