Contents Online
Mathematical Research Letters
Volume 12 (2005)
Number 5
Anticyclotomic Iwasawa theory of CM elliptic curves II
Pages: 611 – 622
DOI: https://dx.doi.org/10.4310/MRL.2005.v12.n5.a1
Authors
Abstract
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 $D_\infty/K$.
Published 1 January 2005