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math.AG2025
On the graded singularity category of Abelian quotient singularities, I. Smooth categorical compactification
Xiaojun Chen, Jieheng Zeng
Given a singularity which is the quotient of an affine space by a finite Abelian group , we study the DG enhancement $\mathcal{D}^{b}(\mathrm{tails}…
math.AG2024
Singularity categories and singular loci of certain quotient singularities
Xiaojun Chen, Jieheng Zeng
Let be a finite dimensional -vector space, where is an algebraic closed field of characteristic zero. Let be a finite abelian group, and den…
math.AG2021
Tilting objects in singularity categories of toric Gorenstein varieties
Xiaojun Chen, Leilei Liu, Jieheng Zeng
We study certain toric Gorenstein varieties with isolated singularities which are the quotient spaces of generic unimodular representations by the one-dimensional torus, or by the…