Anticyclotomic Iwasawa theory of CM elliptic curves II

Details Anticyclotomic Iwasawa theory of CM elliptic curves II Anticyclotomic Iwasawa theory of CM elliptic curves II

2004-01-13

arxiv.org/abs/math/0401124v2

Math. Res. Let. 12, No.5 (2005) 611-622

Mathematics

Number Theory

Final version. To appear in Math. Res. Letters

Scientific paper

We study the Iwasawa theory of a CM elliptic curve $E$ in the anticyclotomic
$\mathbf{Z}_p$-extension $D_\infty$ 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 $D_\infty/K$.

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