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arxiv: 1806.02849 · v1 · pith:LLPO4WFTnew · submitted 2018-06-07 · 🧮 math.AG

On hyperelliptic curves of genus 3

classification 🧮 math.AG
keywords curvesgenushyperellipticmodulispaceweightedbinarycreate
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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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