Resumen de Weil numbers generated by other weil numbers and torsion fields of abelian varieties

E. Kowalski

• Using 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 we show a similar result for 'most' isogeny classes. Some global cases are also treated.