4 papers
Shifted double Poisson structures and noncommutative Poisson extensions
Leilei Liu, Jieheng Zeng, Hu Zhao
We develop a theory of noncommutative Poisson extensions. For an augmented dg algebra \(A\), we show that any shifted double Poisson bracket on \(A\) induces a graded Lie algebra s…
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}…
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…
DG singular equivalence and singular locus
Leilei Liu, Jieheng Zeng
For a commutative Gorenstein Noetherian ring , we construct an affine scheme solely from DG singularity category of such that there is a finite surjective mo…