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Quotients of triangulated categories and Equivalences of Buchweitz, Orlov and Amiot--Guo--Keller

Published 15 Feb 2017 in math.RT, math.AC, math.AG, and math.CT | (1702.04475v3)

Abstract: We give a sufficient condition for a Verdier quotient $\ct/\cs$ of a triangulated category $\ct$ by a thick subcategory $\cs$ to be realized inside of $\ct$ as an ideal quotient. As applications, we deduce three significant results by Buchweitz, Orlov and Amiot--Guo--Keller.

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