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Colocalizing subcategories of singularity categories

Published 5 Nov 2023 in math.CT, math.AC, and math.AG | (2311.02645v2)

Abstract: Utilizing previously established results concerning costratification in relative tensor-triangular geometry, we classify the colocalizing subcategories of the singularity category of a locally hypersurface ring and then we generalize this classification to singularity categories of schemes with hypersurface singularities.

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