A generalized Bondal-Orlov full faithfulness criterion for Deligne-Mumford stacks

Jack Hall, Kyle Priver

Let $X$, $Y$ be smooth projective varieties over $\mathbf{C}$. Let $K$ be a bounded complex of coherent sheaves on $X\times Y$ and let $Φ_K \colon \mathsf{D}^b_{\mathsf{Coh}}(X) \t…