Colocalizing subcategories of singularity categories

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 hype...

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Veröffentlicht in:Journal of algebra Jg. 662; S. 608 - 624
1. Verfasser: Verasdanis, Charalampos
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier Inc 15.01.2025
Schlagworte:
Colocalizing subcategory
Costratification
Cosupport
Relative tensor-triangular geometry
Singularity category
Colocalizing subcategory
13D09
18F99
Singularity category
Relative tensor-triangular geometry
18G80
Costratification
Cosupport
ISSN:0021-8693
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Beschreibung
Zusammenfassung: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.
ISSN:0021-8693
DOI:10.1016/j.jalgebra.2024.08.029