Resumen de The algebraic functional equation of an elliptic curve at supersingular primes

Kim Byoung Du

• Since the analytic functional equation holds for the $\pm$-$p$-adic $L$-functions constructed in \cite{pol}, the algebraic functional equation for the $\pm$-Selmer groups is expected to hold as well. In this paper, we show it following the ideas of \cite{gre1} and \cite{kim}.