Vanishing of cohomology over Gorenstein rings of small codimension

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dc.creatorSega, Liana M
dc.date2002-09-27
dc.date.accessioned2026-07-07T04:51:20Z
dc.date.available2026-07-07T04:51:20Z
dc.descriptionWe prove that if M, N are finite modules over a Gorenstein local ring R of codimension at most 4, then the vanishing of Ext^n_R(M,N) for n\gg 0 is equivalent to the vanishing of Ext^n_R(N,M) for n\gg 0. Furthermore, if the completion of $R$ has no embedded deformation, then such vanishing occurs if and only if M or N has finite projective dimension.
dc.description11 pages, to appear in Proceedings of the AMS
dc.identifierhttps://arxiv.org/abs/math/0209389
dc.identifierhttp://arxiv.org/abs/math/0209389
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65107
dc.subjectCommutative Algebra
dc.subject13D07;13H10;13D40
dc.titleVanishing of cohomology over Gorenstein rings of small codimension
dc.typetext

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