Xiaojun Chen

collaborators

3 papers

math.KT2026

Algebraic $K$ -theory, cohomotopy $K$ -groups, and Koszul duality

Xiaojun Chen, Farkhod Eshmatov, Maozhou Huang

Let $A$ be an augmented differential graded algebra over a field $k$ of characteristic zero, and let $A^{!} = R Hom_{A} (k, k)$ be its Koszul dual algebra. Blumberg and Ma…

math.AG2025

Singularity categories and singular loci of certain quotient singularities

Xiaojun Chen, Jieheng Zeng

Let $V$ be a finite dimensional $k$ -vector space, where $k$ is an algebraic closed field of characteristic zero. Let $G \subseteq SL (V)$ be a finite abelian group, and den…

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 $V$ by a finite Abelian group $G \subseteq SL (V)$ , we study the DG enhancement $\mathcal{D}^{b}(\mathrm{tails}…

Algebraic K-theory, cohomotopy K-groups, and Koszul duality

Singularity categories and singular loci of certain quotient singularities

On the graded singularity category of Abelian quotient singularities, I. Smooth categorical compactification

Algebraic $K$ -theory, cohomotopy $K$ -groups, and Koszul duality