Abelian varieties over finite fields with a specified characteristic polynomial modulo l

dc.creatorHolden, Joshua
dc.date2000-10-29
dc.date2001-05-26
dc.date.accessioned2026-07-07T04:38:19Z
dc.date.available2026-07-07T04:38:19Z
dc.descriptionWe estimate the fraction of isogeny classes of abelian varieties over a finite field which have a given characteristic polynomial P(T) modulo l. As an application we find the proportion of isogeny classes of abelian varieties with a rational point of order l.
dc.description5 pages, submitted to the Proceedings of the AMS. AMS-LaTeX format. Completely revised. Original paper had numerous references to unproved conjectures. These have been removed, but see math.NT/0105087 for proofs of some of them
dc.identifierhttps://arxiv.org/abs/math/0010284
dc.identifierhttp://arxiv.org/abs/math/0010284
dc.identifierJournal de Theorie des Nombres de Bordeaux, 16:173--178, 2004.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60232
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.titleAbelian varieties over finite fields with a specified characteristic polynomial modulo l
dc.typetext

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