Mathematical Research Letters

Volume 12, Issue 5, September 2005 pp. 611-622.

Anticyclotomic Iwasawa theory of CM elliptic curves II

Authors: Adebisi Agboola (1) and Benjamin Howard (2)
Author institution: University of California, Santa Barbara (1) and Harvard University and University of Chicago (2)

Summary: 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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