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math.NT2024
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…
math.NT2024
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…