On the multiplicity conjecture for non-Cohen-Macaulay simplicial complexes

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dc.creatorGoff, Michael
dc.date2008-02-09
dc.date.accessioned2026-07-07T09:19:48Z
dc.date.available2026-07-07T09:19:48Z
dc.descriptionWe prove a reformulation of the multiplicity upper bound conjecture and use that reformulation to prove it for three-dimensional simplicial complexes and homology manifolds with many vertices. We provide necessary conditions for a Cohen-Macaulay complex with many vertices to have a pure minimal free resolution and a characterization of flag complexes whose minimal free resolution is pure.
dc.identifierhttps://arxiv.org/abs/0802.1282
dc.identifierhttp://arxiv.org/abs/0802.1282
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154524
dc.subjectCommutative Algebra
dc.titleOn the multiplicity conjecture for non-Cohen-Macaulay simplicial complexes
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