Resumen de Dualizing complexes and perverse sheaves on noncommutative ringed schemes
A quasi-coherent ringed scheme is a pair (X, A), where X is a scheme, and A is a noncommutative quasi-coherent OX-ring. We introduce dualizing complexes over quasi-coherent ringed schemes and study their properties.
For a separated differential quasi-coherent ringed scheme of finite type over a field, we prove existence and uniqueness of a rigid dualizing complex.
In the proof we use the theory of perverse coherent sheaves in order to glue local pieces of the rigid dualizing complex into a global complex.
