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Some remarks on Quillen's D\'evissage theorem

Some remarks on Quillen's D\'evissage theorem

来源:Arxiv_logoArxiv
英文摘要

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}.

Alexander I. Efimov

数学

Alexander I. Efimov.Some remarks on Quillen's D\'evissage theorem[EB/OL].(2025-05-19)[2025-06-17].https://arxiv.org/abs/2505.13260.点此复制

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