On hyperelliptic curves of genus 3

Published 7 Jun 2018 in math.AG | (1806.02849v1)

Abstract: We study the moduli space of genus 3 hyperelliptic curves via the weighted projective space of binary octavics. This enables us to create a database of all genus 3 hyperelliptic curves defined over $\mathbb Q$, of weighted moduli height $\mathcal h =1$.

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