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arXiv · 2302.05054

A localisation theorem for singularity categories of proper dg algebras

Haibo Jin·Dong Yang·Guodong Zhou
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Abstract

Given a recollement of three proper dg algebras over a noetherian commutative ring, e.g. three algebras which are finitely generated over the base ring, 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.

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Haibo Jin, Dong Yang, Guodong Zhou. 2023-02-10. A localisation theorem for singularity categories of proper dg algebras. https://arxiv.org/abs/2302.05054

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