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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.08782 |
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| _version_ | 1866929242715979776 |
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| author | Kattan, Doha Singerman, David |
| author_facet | Kattan, Doha Singerman, David |
| contents | The modular group $Γ$ (which is the Hecke group $H_3$) can be used to study triangular maps. Here we use the Hecke group $H_4$ to study the regular map that underlies Bring's surface of genus 4. Our main result is the determination of the 20-sided hyperbolic polygon that gives Bring's surface. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_08782 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hecke-Farey coordinates for Bring's curve that gives Bring's surface Kattan, Doha Singerman, David Group Theory 20H10 The modular group $Γ$ (which is the Hecke group $H_3$) can be used to study triangular maps. Here we use the Hecke group $H_4$ to study the regular map that underlies Bring's surface of genus 4. Our main result is the determination of the 20-sided hyperbolic polygon that gives Bring's surface. |
| title | Hecke-Farey coordinates for Bring's curve that gives Bring's surface |
| topic | Group Theory 20H10 |
| url | https://arxiv.org/abs/2402.08782 |