ScalingStacks

Proof. The statement is an immediate consequence of Theorem 4.7 and the fact that $\qc(X)$ is self-dual (Corollary 4.8). It implies that internal hom of $\qc(Y)$-modules out of $\qc(X)$ is calculated by tensoring with $\qc(X)^{\vee}\simeq\qc(X)$. ∎