The Multiplicity Conjecture in low codimensions

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dc.creatorMigliore, Juan C.
dc.creatorNagel, Uwe
dc.creatorRömer, Tim
dc.date2004-10-22
dc.date.accessioned2026-07-07T05:13:37Z
dc.date.available2026-07-07T05:13:37Z
dc.descriptionWe establish the multiplicity conjecture of Herzog, Huneke, and Srinivasan about the multiplicity of graded Cohen-Macaulay algebras over a field, for codimension two algebras and for Gorenstein algebras of codimension three. In fact, we prove stronger bounds than the conjectured ones allowing us to characterize the extremal cases. This may be seen as a converse to the multiplicity formula of Huneke and Miller that inspired the conjectural bounds.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math/0410497
dc.identifierhttp://arxiv.org/abs/math/0410497
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72976
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13H15; 13D02; 13C40
dc.titleThe Multiplicity Conjecture in low codimensions
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