Triangulordinary Selmer Groups

Jonathan Pottharst

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arXiv · 0805.2572

Triangulordinary Selmer Groups

Jonathan Pottharst

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Abstract

Let $p$ be a prime number, and let $K$ be a $p$-adic local field. We study a class of semistable $p$-adic Galois representations of $K$, which we call {\it triangulordinary} because it includes the ordinary ones yet allows non-étale behavior in the associated $(ϕ,Γ_K)$-modules over the Robba ring. Our main result provides a description of the Bloch--Kato local condition of such representations. We also propose a program, using variational techniques, that would give a definition of the Selmer group along the eigencurve of Coleman--Mazur, including notably its nonordinary locus.

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Jonathan Pottharst. 2008-05-16. Triangulordinary Selmer Groups. https://arxiv.org/abs/0805.2572

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