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math.NT2020
Products and Polarizations of Super-Isolated Abelian Varieties
Stefano Marseglia, Travis Scholl
In this paper we study super-isolated abelian varieties, that is, abelian varieties over finite fields whose isogeny class contains a single isomorphism class. The goal of this pap…
math.AG2020
Computing base extensions of ordinary abelian varieties over finite fields
Stefano Marseglia
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 algori…