On the growth of the Betti sequence of the canonical module

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dc.creatorJorgensen, David A.
dc.creatorLeuschke, Graham J.
dc.date2006-03-29
dc.date2006-04-03
dc.date.accessioned2026-07-07T07:07:21Z
dc.date.available2026-07-07T07:07:21Z
dc.descriptionWe study the growth of the Betti sequence of the canonical module of a Cohen-Macaulay local ring. It is an open question whether this sequence grows exponentially whenever the ring is not Gorenstein. We answer the question of exponential growth affirmatively for a large class of rings, and prove that the growth is in general not extremal. As an application of growth, we give criteria for a Cohen-Macaulay ring possessing a canonical module to be Gorenstein.
dc.description12 pages. version 2: includes omitted author contact information
dc.identifierhttps://arxiv.org/abs/math/0603693
dc.identifierhttp://arxiv.org/abs/math/0603693
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110361
dc.subjectCommutative Algebra
dc.subject13C14, 13D02
dc.titleOn the growth of the Betti sequence of the canonical module
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