Coates-Wiles towers for CM abelian varieties
Number Theory
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0404022,
title = {Coates-Wiles towers for CM abelian varieties},
author = {Christopher M. Rowe},
journal= {arXiv preprint arXiv:math/0404022},
year = {2007}
}
Comments
23 pages, 2 figures