Gorenstein Liaison and ACM Sheaves

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dc.creatorCasanellas, Marta
dc.creatorDrozd, Elena
dc.creatorHartshorne, Robin
dc.date2003-07-29
dc.date.accessioned2026-07-07T04:59:57Z
dc.date.available2026-07-07T04:59:57Z
dc.descriptionWe study Gorenstein liaison of codimension two subschemes of an arithmetically Gorenstein scheme X. Our main result is a criterion for two such subschemes to be in the same Gorenstein liaison class, in terms of the category of ACM sheaves on X. As a consequence we obtain a criterion for X to have the property that every codimension 2 arithmetically Cohen-Macaulay subscheme is in the Gorenstein liaison class of a complete intersection. Using these tools we prove that every arithmetically Gorenstein subscheme of $\mathbb{P}^n$ is in the Gorenstein liaison class of a complete intesection and we are able to characterize the Gorenstein liaison classes of curves on a nonsingular quadric threefold in $\mathbb{P}^4$.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/math/0307378
dc.identifierhttp://arxiv.org/abs/math/0307378
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68199
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject14M06, 13C40, 13C14
dc.titleGorenstein Liaison and ACM Sheaves
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