Mathematics > Algebraic Geometry
arXiv:2606.20938 (math)
[Submitted on 18 Jun 2026]
Abstract:We demonstrate a method to prove that a theta characteristic on Riemann surface $S$ invariant under the action of $G \leq \mathrm{Aut}(S)$ has even parity by considering the representation theory of the double cover $\tilde{G} = 2 \cdot G$. We apply this to certain Hurwitz curves, and prove a recent conjecture of Broughton \& Disney-Hogg.
Submission history
From: Alec Linden Disney-Hogg [view email]
[v1]
Thu, 18 Jun 2026 21:05:21 UTC (8 KB)
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