Universal norms of partially de Rham $B$-pairs and perfectness in Lubin--Tate Iwasawa theory
Year: 2026
Type: preprint
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 $(φ,Γ)$-modules we prove that the $Ψ=1$ 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.
Source: arXiv (Cornell University)
Authors: Schneider, Marvin, Steingart, Rustam
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Deutsche Forschungsgemeinschaft
OpenAlex ID: W7221912727