Betti numbers of graded modules and the Multiplicity Conjecture in the non-Cohen-Macaulay case

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dc.creatorBoij, Mats
dc.creatorSoderberg, Jonas
dc.date2008-03-11
dc.date.accessioned2026-07-07T09:26:13Z
dc.date.available2026-07-07T09:26:13Z
dc.descriptionWe use the results by Eisenbud and Schreyer to prove that any Betti diagram of a graded module over a standard graded polynomial ring is a positive linear combination Betti diagrams of modules with a pure resolution. This implies the Multiplicity Conjecture of Herzog, Huneke and Srinivasan for modules that are not necessarily Cohen-Macaulay. We give a combinatorial proof of the convexity of the simplicial fan spanned by the pure diagrams.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0803.1645
dc.identifierhttp://arxiv.org/abs/0803.1645
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156672
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.titleBetti numbers of graded modules and the Multiplicity Conjecture in the non-Cohen-Macaulay case
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