2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74775Using properties of the Frobenius eigenvalues, we show that, in a precise sense, ``most'' isomorphism classes of (principally polarized) simple abelian varieties over a finite field are characterized up to isogeny by the sequence of their division fields, and a similar result for ``most'' isogeny classes. Some global cases are also treated.13 pagesNumber Theory11G10, 11G20, 11G25; 11N36Weil numbers generated by other Weil numbers and torsion fields of abelian varietiestext