Triangulordinary Selmer Groups

dc.creatorPottharst, Jonathan
dc.date2008-05-16
dc.date.accessioned2026-07-07T09:39:26Z
dc.date.available2026-07-07T09:39:26Z
dc.descriptionLet $p$ 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.
dc.description39 pages
dc.identifierhttps://arxiv.org/abs/0805.2572
dc.identifierhttp://arxiv.org/abs/0805.2572
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161170
dc.subjectNumber Theory
dc.subject11F80 (Primary) 11S99 (Secondary)
dc.titleTriangulordinary Selmer Groups
dc.typetext

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