Extensions of the Multiplicity Conjecture

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dc.creatorMigliore, Juan
dc.creatorNagel, Uwe
dc.creatorRoemer, Tim
dc.date2005-05-11
dc.date.accessioned2026-07-07T05:19:48Z
dc.date.available2026-07-07T05:19:48Z
dc.descriptionThe Multiplicity conjecture of Herzog, Huneke, and Srinivasan states an upper bound for the multiplicity of any graded $k$-algebra as well as a lower bound for Cohen-Macaulay algebras. In this note we extend this conjecture in several directions. We discuss when these bounds are sharp, find a sharp lower bound in case of not necessarily arithmetically Cohen-Macaulay one-dimensional schemes of 3-space, and we propose an upper bound for finitely generated graded torsion modules. We establish this bound for torsion modules whose codimension is at most two.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/math/0505229
dc.identifierhttp://arxiv.org/abs/math/0505229
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75156
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13D02; 13H15; 13C40
dc.titleExtensions of the Multiplicity Conjecture
dc.typetext

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