Triangulordinary Selmer Groups

Details Triangulordinary Selmer Groups Triangulordinary Selmer Groups

2008-05-16

arxiv.org/abs/0805.2572v1

Mathematics

Number Theory

39 pages

Scientific paper

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-\'etale behavior in the associated $(\phi,\Gamma_K)$-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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