24 citations · 70 across the 18 of their papers we have counts for
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Abelian surfaces over finite fields containing no curves of genus or less
Elena Berardini, Alejandro Giangreco Maidana, Stefano Marseglia
We study abelian surfaces defined over finite fields which do not contain any possibly singular curve of genus less than or equal to . Firstly, we complete and expand the charac…
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…
Computing abelian varieties over finite fields isogenous to a power
Stefano Marseglia
In this paper we give a module-theoretic description of the isomorphism classes of abelian varieties isogenous to , where the characteristic polynomial of Frobenius of…
Computing square-free polarized abelian varieties over finite fields
Stefano Marseglia
We give algorithms to compute isomorphism classes of ordinary abelian varieties defined over a finite field whose characteristic polynomial (of Frobenius) is square-…