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

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dc.creatorKowalski, Emmanuel
dc.date2005-04-03
dc.date.accessioned2026-07-07T05:18:45Z
dc.date.available2026-07-07T05:18:45Z
dc.descriptionUsing 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.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0504042
dc.identifierhttp://arxiv.org/abs/math/0504042
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74775
dc.subjectNumber Theory
dc.subject11G10, 11G20, 11G25; 11N36
dc.titleWeil numbers generated by other Weil numbers and torsion fields of abelian varieties
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