English

Colocalizing subcategories of singularity categories

Category Theory 2024-08-30 v2 Commutative Algebra Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.2311.02645,
  title  = {Colocalizing subcategories of singularity categories},
  author = {Charalampos Verasdanis},
  journal= {arXiv preprint arXiv:2311.02645},
  year   = {2024}
}

Comments

14 pages, final version, to appear in Journal of Algebra

R2 v1 2026-06-28T13:11:58.607Z