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