Labeling abelian varieties over finite fields
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classification
math.NT
math.AG
keywords
abeliandefinedfieldsfiniteordinarytheyvarietiesadmit
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We describe a deterministic process to associate a practical, permanent label to isomorphism classes of abelian varieties defined over finite fields with commutative endomorphism algebra as long as they are ordinary or defined over a prime field. In the ordinary case, we also provide labels for the polarizations they admit.
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