56.5.1.1
\begin{equation} \label{functors-equation-FM-QCoh} F : \mathit{QCoh}(\mathcal{O}_ X) \longrightarrow \mathit{QCoh}(\mathcal{O}_ Y),\quad \mathcal{F} \longmapsto \text{pr}_{2, *}(\text{pr}_1^*\mathcal{F} \otimes _{\mathcal{O}_{X \times _ R Y}} \mathcal{K}) \end{equation}
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