TL;DR
This paper computes equations for a genus 17 Hurwitz curve and shows that the canonical ideal of certain Hurwitz curves is generated by quadrics, advancing understanding of their algebraic structure.
Contribution
It provides explicit equations for a genus 17 Hurwitz curve and proves that the canonical ideal of Hurwitz curves of genus 14 or 17 is quadratically generated.
Findings
Explicit equations for a genus 17 Hurwitz curve.
Canonical ideals of certain Hurwitz curves are generated by quadrics.
Enhanced understanding of algebraic properties of Hurwitz curves.
Abstract
We compute equations for a Hurwitz curve of genus 17 and we conclude that the canonical ideal of any Hurwitz curve of genus 14 or 17 is generated by quadrics.
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