Functional equations for multi-signed Selmer groups

Antonio Lei; Gautier Ponsinet

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arXiv · 1601.04999

Functional equations for multi-signed Selmer groups

Antonio Lei·Gautier Ponsinet

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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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Antonio Lei, Gautier Ponsinet. 2016-01-19. Functional equations for multi-signed Selmer groups. https://arxiv.org/abs/1601.04999

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