Let E be an elliptic curve defined over Q with complex multiplication by the ring of integers of an imaginary quadratic field K. We apply an elliptic unit version of Ichimura-Sumida criterion for the Zp-extension F∞/F associated to E and try to determine the characteristic polynomial of the maximal unramified abelian p-extension of F∞.
|Number of pages||10|
|Journal||Mathematical Proceedings of the Cambridge Philosophical Society|
|Publication status||Published - 2004 Nov|
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