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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 (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.
Related
- Iwasawa theory of (directed) Cayley graphs
- Unramified Geometric Iwasawa theory of function fields
- Construction of Galois modules describing ideal class groups and applications to Iwasawa theory
- Vanishing of Sha(A/K)[P∞] and its consequences for the anticyclotomic Iwasawa theory of GL2-abelian varieties
- Iwasawa theory of CM elliptic curves at potentially supersingular primes
BibTeX
@misc{schneider2026universal,
title = {{Universal norms of partially de Rham $B$-pairs and perfectness in Lubin--Tate Iwasawa theory}},
author = {Marvin Schneider and Rustam Steingart},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.20445},
eprint = {2610.20445},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.20445},
}
RIS
TY - UNPB
TI - Universal norms of partially de Rham B-pairs and perfectness in Lubin--Tate Iwasawa theory
AU - Marvin Schneider
AU - Rustam Steingart
PY - 2026
DA - 2026/10/14
PB - arXiv
DO - 10.48550/arxiv.2610.20445
UR - https://arxiv.org/abs/2610.20445
AB - 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.
ER -