Joint IAS/Princeton University Number Theory Seminar

Work of Kobayashi and Iovita-Pollack describes how local points of supersingular elliptic curves on ramified $\mathbb Z_p$-extensions of $\mathbb Q_p$ split into two strands of even and odd points. We will discuss a generalization of this result to $\mathbb Z_p$-extensions that are localizations of anticyclotomic $\mathbb Z_p$-extensions over which the elliptic curve has non-trivial CM points.