Let X be a scheme. We prove that the class of all pure acyclic complexes of quasi-coherent sheaves is covering. As an application we show that there is an equivalence between the pure derived category of X and a full subcategory of the homotopy category of injective quasi-coherent sheaves.
The homotopy category of pure injective flats and Grothendieck duality
A Beauville-Laszlo-type descent theorem for locally Noetherian schemes
Classification of categorical subspaces of locally noetherian schemes
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