Anticyclotomic Iwasawa Theory of Cm Elliptic Curves Ii

نویسندگان

  • ADEBISI AGBOOLA
  • BENJAMIN HOWARD
چکیده

We study the Iwasawa theory of a CM elliptic curve E in the anticyclotomic Zpextension D∞ of the CM field K, where p is a prime of good, supersingular reduction for E. Our main result yields an asymptotic formula for the corank of the p-primary Selmer group of E along the extension D∞/K.

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Anticyclotomic Iwasawa Theory of Cm Elliptic Curves Ii Adebisi Agboola and Benjamin Howard

We study the Iwasawa theory of a CM elliptic curve E in the anticyclotomic Zpextension D∞ of the CM field K, where p is a prime of good, supersingular reduction for E. Our main result yields an asymptotic formula for the corank of the p-primary Selmer group of E along the extension D∞/K.

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تاریخ انتشار 2003