3 citations · 4 across the 4 of their papers we have counts for
4 papers
Isogenies on Kummer Surfaces
Maria Corte-Real Santos, E. Victor Flynn
We first give a cleaner and more direct approach to the derivation of the Fast model of the Kummer surface. We show how to construct efficient (N,N)-isogenies, for any odd N, both…
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…
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…
Genus two curves with full -level structure and Tate-Shafarevich groups
Nils Bruin, E. Victor Flynn, Ari Shnidman
We give an explicit rational parameterization of the surface over whose points parameterize genus 2 curves~ with full -level structure on…