On the Betti Numbers of Shifted Complexes of Stable Simplicial Complexes

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dc.creatorTang, Zhongming
dc.creatorZhuang, Guifen
dc.date2004-11-20
dc.date.accessioned2026-07-07T05:14:32Z
dc.date.available2026-07-07T05:14:32Z
dc.descriptionLet $Δ$ be a stable simplicial complex on $n$ vertexes. Over an arbitrary base field $K$, the symmetric algebraic shifted complex $Δ^s$ of $Δ$ is defined. It is proved that the Betti numbers of the Stanley-Reisner ideals in the polynomial ring $K[x_1,x_2,...,x_n]$ of the symmetric algebraic shifted, exterior algebraic shifted and combinatorial shifted complexes of $Δ$ are equal.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0411449
dc.identifierhttp://arxiv.org/abs/math/0411449
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73306
dc.subjectCommutative Algebra
dc.subject13F55; 13D02; 55U10
dc.titleOn the Betti Numbers of Shifted Complexes of Stable Simplicial Complexes
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