On local Galois deformation rings: generalised tori
Number Theory
2025-02-26 v2
Abstract
We study deformation theory of mod Galois representations of -adic fields with values in generalised tori, such as -groups of (possibly non-split) tori. We show that the corresponding deformation rings are formally smooth over a group algebra of a finite abelian -group. We compute their dimension and the set of irreducible components.
Keywords
Cite
@article{arxiv.2404.14615,
title = {On local Galois deformation rings: generalised tori},
author = {Vytautas Paškūnas and Julian Quast},
journal= {arXiv preprint arXiv:2404.14615},
year = {2025}
}
Comments
v2: minor changes after a referee report