On local Galois deformation rings: generalised reductive groups

Fuente: arXiv
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Autori principali: Paškūnas, Vytautas, Quast, Julian
Natura: Preprint
Pubblicazione: 2024
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author Paškūnas, Vytautas
Quast, Julian
author_facet Paškūnas, Vytautas
Quast, Julian
contents We study deformation theory of mod $p$ Galois representations of $p$-adic fields with values in generalised reductive group schemes, such as $L$-groups and $C$-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.
format Preprint
id arxiv_https___arxiv_org_abs_2404_14622
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On local Galois deformation rings: generalised reductive groups
Paškūnas, Vytautas
Quast, Julian
Number Theory
We study deformation theory of mod $p$ Galois representations of $p$-adic fields with values in generalised reductive group schemes, such as $L$-groups and $C$-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.
title On local Galois deformation rings: generalised reductive groups
topic Number Theory
url https://arxiv.org/abs/2404.14622