On the algebraic functional equation for the mixed signed Selmer group over multiple ℤ_{𝕡}-extensions

Ahmed, Suman; Lim, Meng Fai

doi:10.1090/proc/15525

On the algebraic functional equation for the mixed signed Selmer group over multiple $\mathbb {Z}_{p}$-extensions
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by Suman Ahmed and Meng Fai Lim

Proc. Amer. Math. Soc. 149 (2021), 4541-4553

DOI: https://doi.org/10.1090/proc/15525

Published electronically: August 12, 2021

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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 $E$ over a multiple $\mathbb {Z}_{p}$-extension.

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