pith. sign in

arxiv: 2203.15133 · v3 · pith:UPPC22B6new · submitted 2022-03-28 · 🧮 math.AG

Centralizers of sections of a reductive group scheme

Sean Cotner This is my paper
classification 🧮 math.AG
keywords schemecentralizersgroupsectionsbasegeneralreductiveresults
0
0 comments X
read the original abstract

This paper proves a number of flatness results for centralizers of sections of a reductive group scheme over a general base scheme. To this end, we establish relative versions of the Jordan decomposition. Using our results, we obtain a canonical flattening stratification for the universal centralizer of a simply connected semisimple group scheme over a base of good characteristic. We also investigate the structure of centralizers and conjugacy classes of unipotent and nilpotent sections over general bases.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Central isogenies and conjugacy classes in reductive groups

    math.RT 2026-06 unverdicted novelty 6.0

    Generalizes Steinberg's centralizer component description to unipotent elements under non-etale covers, with applications to L-parameter moduli multiplicities, deformation rings, and non-existence of Springer isomorph...