A localisation theorem for singularity categories of proper dg algebras

Haibo Jin, Dong Yang, Guodong Zhou

Published 2023-02-10Version 1

Given a recollement of three proper dg algebras, e.g. three finite-dimensional algebras, which extends one step downwards, it is shown that there is a short exact sequence of their singularity categories. This allows us to recover and generalise some known results on singularity categories of finite-dimensional algebras.