Rigid Dualizing Complexes via Differential Graded Algebras (Survey)

dc.creatorYekutieli, Amnon
dc.date2007-09-13
dc.date2008-07-20
dc.date.accessioned2026-07-07T09:51:10Z
dc.date.available2026-07-07T09:51:10Z
dc.descriptionIn 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 then discuss rigid dualizing complexes. Finally we show how rigid complexes can be used to understand Cohen-Macaulay homomorphisms and relative dualizing sheaves.
dc.description9 pages, minor changes, final version (to appear proc. Conf. Triangulated Categories, Leeds 2006)
dc.identifierhttps://arxiv.org/abs/0709.2149
dc.identifierhttp://arxiv.org/abs/0709.2149
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165196
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subjectCategory Theory
dc.subject18E30
dc.titleRigid Dualizing Complexes via Differential Graded Algebras (Survey)
dc.typetext

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