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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.


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