The 2-Weierstrass points of genus 3 hyperelliptic curves with extra automorphisms
Algebraic Geometry
2019-05-28 v2
Abstract
For each group , \, 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.
Keywords
Cite
@article{arxiv.1307.8177,
title = {The 2-Weierstrass points of genus 3 hyperelliptic curves with extra automorphisms},
author = {T. Shaska and C. Shor},
journal= {arXiv preprint arXiv:1307.8177},
year = {2019}
}