Characterization of some projective subschemes by locally free resolutions

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dc.creatorNagel, Uwe
dc.date2002-12-16
dc.date.accessioned2026-07-07T04:53:49Z
dc.date.available2026-07-07T04:53:49Z
dc.descriptionA locally free resolution of a subscheme is by definition an exact sequence consisting of locally free sheaves (except the ideal sheaf) which has uniqueness properties like a free resolution. The purpose of this paper is to characterize certain locally Cohen-Macaulay subschemes by means of locally free resolutions. First we achieve this for arithmetically Buchsbaum subschemes. This leads to the notion of an $Ω$-resolution and extends a result of Chang. Second we characterize quasi-Buchsbaum subschemes by means of weak $Ω$-resolutions. Finally, we describe the weak $Ω$-resolutions which belong to arithmetically Buchsbaum surfaces of codimension two. Various applications of our results are given.
dc.descriptionContemp. Math. (to appear)
dc.identifierhttps://arxiv.org/abs/math/0212217
dc.identifierhttp://arxiv.org/abs/math/0212217
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66006
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.titleCharacterization of some projective subschemes by locally free resolutions
dc.typetext

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