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Quotients of triangulated categories and Equivalences of Buchweitz, Orlov, and Amiot-Guo-Keller
American Journal of Mathematics ( IF 1.7 ) Pub Date : 2020-09-03
Osamu Iyama, Dong Yang

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.



中文翻译:

Buchweitz,Orlov和Amiot-Guo-Keller的三角分类和等价的商

摘要:

我们给出一个简单的充分条件,以便在较粗的子类别$ \ scr {S} $的三角分类类别$ \ scr {T} $的Verdier商$ \ scr {T} / \ scr {S} $ $ \ scr {T} $作为理想商。作为应用程序,我们推断出Buchweitz,Orlov和Amiot-Guo-Keller的三个重要结果。

更新日期:2020-09-03
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