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arXiv · 2004.10592

On the algebraic functional equation for the mixed signed Selmer group over multiple $\mathbb{Z}_p$-extensions

Suman Ahmed·Meng Fai Lim
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Abstract

Let $E$ be an elliptic curve defined over a number field with good reduction at all primes above a fixed odd prime $p$, where at least one of which is a supersingular prime of $E$. In this paper, we will establish the algebraic functional equation for the mixed signed Selmer groups of an elliptic curve with good reduction at every prime above $p$ over a multiple $\mathbb{Z}_p$-extension.

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Suman Ahmed, Meng Fai Lim. 2020-04-22. On the algebraic functional equation for the mixed signed Selmer group over multiple $\mathbb{Z}_p$-extensions. https://doi.org/10.1090/proc/15525

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