ℤp-extensions associated to elliptic curves with complex multiplication

Takashi Fukuda; Keiichi Komatsu

doi:10.1017/S0305004104007959

ℤ_p-extensions associated to elliptic curves with complex multiplication

Takashi Fukuda^*, Keiichi Komatsu

^*この研究の対応する著者

研究成果: Article › 査読

抄録

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 Z_p-extension F∞/F associated to E and try to determine the characteristic polynomial of the maximal unramified abelian p-extension of F∞.

本文言語	English
ページ（範囲）	541-550
ページ数	10
ジャーナル	Mathematical Proceedings of the Cambridge Philosophical Society
巻	137
号	3
DOI	https://doi.org/10.1017/S0305004104007959
出版ステータス	Published - 2004 11月

ASJC Scopus subject areas

数学 (全般)

文献へのアクセス

10.1017/S0305004104007959

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引用スタイル

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