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math.AG2001
An explicit formula for the genus 3 AGM
D. Lehavi
Given a smooth non-hyperelliptic curve C of genus 3 and a maximal isotropic subgroup (w.r.t. the Weil pairing) L in Jac(C)[2], there exists a smooth curve C' s.t. Jac(C')=Jac(C)/L.…
math.AG2001
The Chord Construction
D. Lehavi, R. Livné
Let F be a smooth plane curve of degree 3. Let \gb be an element in Pic(F)[2]-{0}. Let us define F':={\ol{p(p+\gb)}|p in F}\subset(P^2)^*. In this note we show that F' is a smooth…