On local Galois deformation rings: generalised reductive groups
Number Theory
2026-05-06 v2
Abstract
We study deformation theory of mod Galois representations of -adic fields with values in generalised reductive group schemes, such as -groups and -groups. We show that the corresponding deformation rings are complete intersections of expected dimension. We determine their irreducible components in many cases and show that they and their special fibres are normal and complete intersection.
Cite
@article{arxiv.2404.14622,
title = {On local Galois deformation rings: generalised reductive groups},
author = {Vytautas Paškūnas and Julian Quast},
journal= {arXiv preprint arXiv:2404.14622},
year = {2026}
}
Comments
105 pages. Revised version after the referee report. Minor changes. Added an index of notations