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Rigid Dualizing Complexes over Commutative Rings and their Functorial Properties

Rigid Dualizing Complexes over Commutative Rings and their Functorial Properties

In this paper we treat Grothendieck Duality for noetherian rings via rigid dualizing complexes. In particular, we prove that every ring, essentially finite type over a regular base ring, has a unique rigid dualizing complex. The rigid dualizing complexes have strong functorial properties, allowing us to construct the twisted induction …