A local‐global principle for isogenies of composite degree
I Vogt - Proceedings of the London Mathematical Society, 2020 - Wiley Online Library
Let E be an elliptic curve defined over a number field K. If for almost all primes of K, the
reduction of E has a rational cyclic isogeny of fixed degree, then we can ask whether E has a …
reduction of E has a rational cyclic isogeny of fixed degree, then we can ask whether E has a …
Computing base extensions of ordinary abelian varieties over finite fields
S Marseglia - International Journal of Number Theory, 2022 - World Scientific
We study base field extensions of ordinary abelian varieties defined over finite fields using
the module theoretic description introduced by Deligne. As applications we give algorithms …
the module theoretic description introduced by Deligne. As applications we give algorithms …