Some remarks on Quillen's Dévissage theorem
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916765327425536 |
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| author | Efimov, Alexander I. |
| author_facet | Efimov, Alexander I. |
| contents | In this paper we give a different proof of Quillen's Dévissage 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}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_13260 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Some remarks on Quillen's Dévissage theorem Efimov, Alexander I. K-Theory and Homology Algebraic Geometry Category Theory 19D55 In this paper we give a different proof of Quillen's Dévissage 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}. |
| title | Some remarks on Quillen's Dévissage theorem |
| topic | K-Theory and Homology Algebraic Geometry Category Theory 19D55 |
| url | https://arxiv.org/abs/2505.13260 |