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...

Full description

Saved in:
Bibliographic Details
Published in:Journal of algebra Vol. 662; pp. 608 - 624
Main Author: Verasdanis, Charalampos
Format: Journal Article
Language:English
Published: Elsevier Inc 15.01.2025
Subjects:
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
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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