GAGA for DQ-Algebroid

Abstract

Let X be a smooth complex projective variety with associated compact manifold_X_an. If A__X is a DQ-algbroid on X, thenthere is an induced DQ-algebroid A__Xan on _X_an. We show that the natural functor from the derived category of bounded complexes of A__X-modules with coherent cohomologies to the derived category of bounded complexes ofA__Xan-modules with coherent cohomologies is an equivalence.