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Anticyclotomic Iwasawa theory of CM elliptic curves II

Adebisi Agboola·Benjamin Howard
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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 $D_\infty/K$.

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Adebisi Agboola, Benjamin Howard. 2004-01-13. Anticyclotomic Iwasawa theory of CM elliptic curves II. https://arxiv.org/abs/math/0401124

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