Klein coverings over hyperelliptic genus 3 curves
Algebraic Geometry
2026-03-16 v2
Abstract
We characterize the moduli space of \'etale Klein coverings (i.e. Galois with deck group ) 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.
Cite
@article{arxiv.2602.18969,
title = {Klein coverings over hyperelliptic genus 3 curves},
author = {Paweł Borówka and Angela Ortega},
journal= {arXiv preprint arXiv:2602.18969},
year = {2026}
}
Comments
18 pages, comments welcome. Remarks 2.7, 4.7, and a reference added