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

• Autores: E. Kowalski
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 74, Nº 2, 2006, págs. 273-288
• Idioma: inglés
• DOI: 10.1112/s0024610706023040
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• Resumen

  • 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.