Modular systoles are extremal for the crossing number
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866918132082278400 |
|---|---|
| author | Burrin, Claire Parlier, Hugo |
| author_facet | Burrin, Claire Parlier, Hugo |
| contents | We study crossing numbers for systoles of congruence surfaces. Taken as a family of curves on a family of surfaces, we show that the growth rate of their intersection is optimally small among all sets of curves of the same cardinality lying on the same topological surface. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_20958 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Modular systoles are extremal for the crossing number Burrin, Claire Parlier, Hugo Geometric Topology Combinatorics Number Theory We study crossing numbers for systoles of congruence surfaces. Taken as a family of curves on a family of surfaces, we show that the growth rate of their intersection is optimally small among all sets of curves of the same cardinality lying on the same topological surface. |
| title | Modular systoles are extremal for the crossing number |
| topic | Geometric Topology Combinatorics Number Theory |
| url | https://arxiv.org/abs/2508.20958 |