Computing base extensions of ordinary abelian varieties over finite fields

Abstract

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 to determine the minimal field of definition of such a variety and to determine whether two such varieties are twists.

References in corpus (5)

• Computing the ideal class monoid of an order
• Abelian varieties isogenous to a power of an elliptic curve
• Computing square-free polarized abelian varieties over finite fields
• Almost ordinary abelian varieties over finite fields
• Computing abelian varieties over finite fields isogenous to a power