Title: Dualizing Complexes and Perverse Sheaves on Noncommutative Ringed Schemes
Authors: Amnon Yekutieli and James J. Zhang
Publication status: Selecta Math. 12 (2006), 137-177.

Abstract:
Let (X, A) be a separated differential quasi-coherent
ringed scheme of finite type over a field k. We prove that
there exists a rigid dualizing complex over A. It is
known from earlier work that a rigid dualizing complex exists on
every affine open set in X; the difficulty is how to glue these
affine dualizing complexes into a global one. We accomplish this
using a perverse t-structure on the derived category of bimodules. 

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