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Rigid dualizing complexes via differential graded algebras (survey)

Rigid dualizing complexes via differential graded algebras (survey)

. In this article we survey recent results on rigid dualizing complexes over commutative algebras. We begin by recalling what are dualizing complexes. Next we define rigid complexes, and explain their functorial properties. Due to the possible presence of torsion, we must use differential graded algebras in the constructions. We …