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math.RT2023
Differential graded enhancements of singularity categories
Xiao-Wu Chen, Zhengfang Wang
The singularity category of a ring detects the homological singularity of the given ring, and appears in many different contexts. We describe two different dg enhancements of the s…
math.RT2023
Pre-weight structures, pseudo-identities and canonical derived equivalences
Xiao-Wu Chen
We introduce the notion of pre-weight structure on a triangulated category and study the corresponding pseudo-identities. We propose the notion of canonical derived equivalence bet…