Universal norms of partially de Rham $B$-pairs and perfectness in Lubin--Tate Iwasawa theory

Abstract

We study the behaviour of partially de Rham Selmer groups of $B$-pairs along abelian $p$-adic Lie extensions. In the cyclotomic case we compare them with the universal norms studied by Berger. For analytic Lubin--Tate $(\phi ,\Gamma )$-modules we prove that the $\Psi =1$ eigenspace is coadmissible of the expected rank over the algebra of analytic distributions and establish a comparison result between its Lie-algebra coinvariants and the projective limit of the partially de Rham Selmer groups of the attached $B$-pair.

arXiv comment34 pages