On the Castelnuovo-Mumford regularity of products of ideal sheaves

dc.creatorSidman, Jessica
dc.date2001-10-17
dc.date2001-11-01
dc.date.accessioned2026-07-07T04:43:53Z
dc.date.available2026-07-07T04:43:53Z
dc.descriptionIn this paper we give bounds on the Castelnuovo-Mumford regularity of products of ideals and ideal sheaves. In particular, we show that the regularity of a product of ideals is bounded by the sum of the regularities of its factors if the corresponding schemes intersect in a finite set of points. We also show how approximations of sheaves can be used to bound the regularity of an arrangement of two-planes in projective space.
dc.description9 pages, Minor additions to introduction, references added, typos corrected, minor change in exposition of main theorem
dc.identifierhttps://arxiv.org/abs/math/0110184
dc.identifierhttp://arxiv.org/abs/math/0110184
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62419
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subjectCombinatorics
dc.subject13D02; 52C35
dc.titleOn the Castelnuovo-Mumford regularity of products of ideal sheaves
dc.typetext

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