Functional equations for multi-signed Selmer groups

Published 19 Jan 2016 in math.NT | (1601.04999v2)

Abstract: We study the functional equation for the multi-signed Selmer groups for non-ordinary motives whose Hodge-Tate weights are $0$ and $1$, defined by B\"uy\"ukboduk and the first named author. This generalizes simultaneously Greenberg's result for ordinary motives and Kim's result for supersingular elliptic curves.

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