Colocalizing subcategories of singularity categories

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1. Verfasser: Verasdanis, Charalampos
Format: Preprint
Veröffentlicht: 2023
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author Verasdanis, Charalampos
author_facet Verasdanis, Charalampos
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2311_02645
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Colocalizing subcategories of singularity categories
Verasdanis, Charalampos
Category Theory
Commutative Algebra
Algebraic Geometry
18F99, 18G80, 13D09
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.
title Colocalizing subcategories of singularity categories
topic Category Theory
Commutative Algebra
Algebraic Geometry
18F99, 18G80, 13D09
url https://arxiv.org/abs/2311.02645