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math.NT2022★ 1 cited
An analog of the Edwards model for Jacobians of genus 2 curves
E. Victor Flynn, Kamal Khuri-Makdisi
We give the explicit equations for a P^3 x P^3 embedding of the Jacobian of a curve of genus 2, which gives a natural analog for abelian surfaces of the Edwards curve model of elli…
math.NT2022
Arbitrarily large -torsion in Tate-Shafarevich groups
E. Victor Flynn, Ari Shnidman
We show that, for any prime , there exist absolutely simple abelian varieties over with arbitrarily large -torsion in their Tate-Shafarevich group. To prove this…