Papers › Computing square-free polarized abelian varieties over finite fields
Computing square-free polarized abelian varieties over finite fields
Stefano Marseglia
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We give algorithms to compute isomorphism classes of ordinary abelian varieties defined over a finite field 𝔽_q whose characteristic polynomial (of Frobenius) is square-free and of abelian varieties defined over the prime field 𝔽ₚ whose characteristic polynomial is square-free and does not have real roots. In the ordinary case we are also able to compute the polarizations and the group of automorphisms (of the polarized variety) and, when the polarization is principal, the period matrix.
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