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Quotients of triangulated categories and equivalences of Buchweitz, Orlov, and Amiot-Guo-Keller
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 142, Number 5, October 2020
- pp. 1641-1659
- 10.1353/ajm.2020.0041
- Article
- Additional Information
Abstract:
We give a simple sufficient condition for a Verdier quotient ${\cal T}/\ {\cal S}$ of a triangulated category ${\cal T}$ by a thick subcategory ${\cal S}$ to be realized inside of ${\cal T}$ as an ideal quotient. As applications, we deduce three significant results by Buchweitz, Orlov and Amiot-Guo-Keller.