p-extensions associated to elliptic curves with complex multiplication

Takashi Fukuda, Keiichi Komatsu

    Research output: Contribution to journalArticle

    Abstract

    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∞.

    Original languageEnglish
    Pages (from-to)541-550
    Number of pages10
    JournalMathematical Proceedings of the Cambridge Philosophical Society
    Volume137
    Issue number3
    DOIs
    Publication statusPublished - 2004 Nov

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    Complex multiplication
    Elliptic Curves
    Imaginary Quadratic Field
    Characteristic polynomial
    Ring
    Unit
    Integer

    ASJC Scopus subject areas

    • Mathematics(all)

    Cite this

    p-extensions associated to elliptic curves with complex multiplication. / Fukuda, Takashi; Komatsu, Keiichi.

    In: Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 137, No. 3, 11.2004, p. 541-550.

    Research output: Contribution to journalArticle

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