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Colocalizing subcategories of singularity categories

2023/11/05 by Verasdanis, Charalampos
#13D09 #18F99 #18G80 #Algebraic Geometry (math.AG) #Category Theory (math.CT) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2311.02645

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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