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Hecke-Farey coordinates for Bring's curve that gives Bring's surface

Group Theory 2024-02-15 v1

Abstract

The modular group Γ\Gamma (which is the Hecke group H3H_3) can be used to study triangular maps. Here we use the Hecke group H4H_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.

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Cite

@article{arxiv.2402.08782,
  title  = {Hecke-Farey coordinates for Bring's curve that gives Bring's surface},
  author = {Doha Kattan and David Singerman},
  journal= {arXiv preprint arXiv:2402.08782},
  year   = {2024}
}

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