Article

Singularity categories and singular loci of certain abelian quotient singularities

Xiaojun ChenDepartment of Mathematics New Uzbekistan University Tashkent UzbekistanJieheng ZengDepartment of Mathematics and Statistics Hunan Normal University Changsha China

Journal of the London Mathematical Societyjournal2025en

ABI

Abstract

Abstract Let be an affine space over field , which is characteristic zero. Let be a finite abelian group, and denote by the ‐invariant subring of the polynomial ring . It is shown that the singularity category recovers the reduced singular locus of .

Topics

Algebraic structures and combinatorial models Rings, Modules, and Algebras Homotopy and Cohomology in Algebraic Topology

Identifiers

DOI: 10.1112/jlms.70339

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