GAGA for DQ-algebroid (Q991591)

Summary: Let \(X\) be a smooth complex projective variety with associated compact complex manifold \(X_{\text{an}}\). If \({\mathcal A}_X\) is a DQ-algebroid on \(X\), then there is an induced DQ-algebroid \({\mathcal A}_{X_{\text{an}}}\) on \(X_{\text{an}}\). We show that the natural functor from the derived category of bounded complexes of \({\mathcal A}_X\)-modules with coherent cohomologies to the derived category of bounded complexes of \({\mathcal A}_{X_{\text{an}}}\)-modules with coherent cohomologies is an equivalence.