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arXiv · 1307.8177

The 2-Weierstrass points of genus 3 hyperelliptic curves with extra automorphisms

T. Shaska·C. Shor
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Abstract

For each group $G$, $(|G| > 2)$ \, which acts as a full automorphism group on a genus 3 hyperelliptic curve, we determine the family of curves which have 2-Weierstrass points. Such families of curves are explicitly determined in terms of the absolute invariants of binary octavics. The 1-dimensional families that we discover have the property that they contain only genus 0 components.

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T. Shaska, C. Shor. 2013-07-31. The 2-Weierstrass points of genus 3 hyperelliptic curves with extra automorphisms. https://doi.org/10.1080/00927872.2016.1226861

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