ON THE ALGEBRAIC FUNCTIONAL EQUATION FOR THE MIXED SIGNED SELMER GROUP OVER MULTIPLE Zp-EXTENSIONS

摘要

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 Z(p)-extension.

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