학술논문

Quotients of triangulated categories and Equivalences of Buchweitz, Orlov, and Amiot-Guo-Keller
Document Type
Article
Source
American Journal of Mathematics. 142(5):1641-1659
Subject
Language
English
ISSN
1080-6377
Abstract
We give a simple sufficient condition for a Verdier quotient $\scr{T}/\scr{S}$ of a triangulated category $\scr{T}$ by a thick subcategory $\scr{S}$ to be realized inside of $\scr{T}$ as an ideal quotient. As applications, we deduce three significant results by Buchweitz, Orlov and Amiot-Guo-Keller.