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Abstract: In this article we survey recent results on rigid dualizing complexes overcommutative algebras. We begin by recalling what are dualizing complexes. Nextwe define rigid complexes, and explain their functorial properties. Due to thepossible presence of torsion, we must use differential graded algebras in theconstructions. We then discuss rigid dualizing complexes. Finally we show howrigid complexes can be used to understand Cohen-Macaulay homomorphisms andrelative dualizing sheaves.



Autor: Amnon Yekutieli

Fuente: https://arxiv.org/







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