Local points of supersingular elliptic curves on Z_p-extensions

Local points of supersingular elliptic curves on Z_p-extensions

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Mirela Ciperiani , IAS
IAS Room S-101

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