Coates-Wiles towers for CM abelian varieties

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Let 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.
23 pages, 2 figures

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Number Theory, 11G10, 11G15 (Primary) 11R27 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/70685

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0404022
 http://arxiv.org/abs/math/0404022

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arXiv