Coates-Wiles towers for CM abelian varieties

dc.creatorRowe, Christopher M.
dc.date2004-04-02
dc.date.accessioned2026-07-07T05:06:59Z
dc.date.available2026-07-07T05:06:59Z
dc.descriptionLet A be a CM abelian variety defined over a number field K. We compute congruence relations on units in fields generated by adjoining torsion points of A to K. For elliptic curves, congruence relations of the type we compute were used in the proof of the Coates-Wiles theorem. In general, we compute congruence relations on exterior products of units in division fields. This result seems to fit more naturally into the framework of the Stark/Rubin conjectures.
dc.description23 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0404022
dc.identifierhttp://arxiv.org/abs/math/0404022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70685
dc.subjectNumber Theory
dc.subject11G10, 11G15 (Primary) 11R27 (Secondary)
dc.titleCoates-Wiles towers for CM abelian varieties
dc.typetext

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