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Noncommutative deformation theory, the derived quotient, and DG singularity categories by Booth, Matt is a scholarly article available to read on EtoBox.

What is Noncommutative deformation theory, the derived quotient, and DG singularity categories about?

We show that Braun-Chuang-Lazarev's derived quotient prorepresents a naturally defined noncommutative derived deformation functor. Given a noncommutative partial resolution of a Gorenstein algebra, we show that the associated derived quotient controls part of its dg singularity category. We use a recent result of Hua and Keller to prove a recovery theorem, which can be thought of as providing a solution to a derived enhancement of a conjecture made by Donovan and Wemyss about the birational geometry of threefold flops.

Author

Booth, Matt

Published

2018

Language

EN