Mathematical Research Letters

Volume 15, Issue 1, January 2008 pp. 83-94.

The algebraic functional equation of an elliptic curve at supersingular primes

Authors: Byoung Du (B.D.) Kim
Author institution: Northwestern University

Summary: 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}.

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