Some remarks on Quillen's D\'evissage theorem
K-Theory and Homology
2025-05-30 v2 Algebraic Geometry
Category Theory
Abstract
In this paper we give a different proof of Quillen's D\'evissage theorem using Barwick's theorem of the heart. The key ingredient is a certain short exact sequence of dg categories, which is closely related with the Auslander-type construction for nilpotent extensions which was used in the papers of Kuznetsov-Lunts \cite{KL15}, Land-Tamme \cite{LT19} and the author \cite{E20}.
Cite
@article{arxiv.2505.13260,
title = {Some remarks on Quillen's D\'evissage theorem},
author = {Alexander I. Efimov},
journal= {arXiv preprint arXiv:2505.13260},
year = {2025}
}
Comments
14 pages; v2: minor corrections, typos fixed