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arXiv · 2602.18969

Klein coverings over hyperelliptic genus 3 curves

Paweł Borówka·Angela Ortega
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Abstract

We characterize the moduli space of \'etale Klein coverings (i.e. Galois with deck group $\mathbb{Z}_2^2$) of hyperelliptic curves of genus 3. We prove that the Prym map on each component is injective. As an application, we show that the Prym map of \'etale Klein coverings of genus 3 curves is generically finite.

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Paweł Borówka, Angela Ortega. 2026-02-21. Klein coverings over hyperelliptic genus 3 curves. https://arxiv.org/abs/2602.18969

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