Liaison addition and the structure of a Gorenstein liaison class

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dc.creatorHartshorne, Robin
dc.creatorMigliore, Juan
dc.creatorNagel, Uwe
dc.date2006-11-30
dc.date.accessioned2026-07-07T07:33:33Z
dc.date.available2026-07-07T07:33:33Z
dc.descriptionWe study the concept of liaison addition for codimension two subschemes of an arithmetically Gorenstein projective scheme. We show how it relates to liaison and biliaison classes of subschemes and use it to investigate the structure of Gorenstein liaison equivalence classes, extending the known theory for complete intersection liaison of codimension two subschemes. In particular, we show that on the non-singular quadric threefold in projective 4-space, every non-licci ACM curve can be obtained from a single line by successive liaison additions with lines and CI-biliaisons.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0611953
dc.identifierhttp://arxiv.org/abs/math/0611953
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119493
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject14M06; 14M07; 14F05; 13D02
dc.titleLiaison addition and the structure of a Gorenstein liaison class
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