Upper Bounds for the Betti Numbers of a given Hilbert Function

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dc.creatorBigatti, Anna Maria
dc.date1992-05-19
dc.date.accessioned2026-07-07T09:05:44Z
dc.date.available2026-07-07T09:05:44Z
dc.descriptionFrom a Macaulay's paper it follows that a lex-segment ideal has the greatest number of generators (the 0-th Betti number $\b_0$) among all the homogeneous ideals with the same Hilbert function. In this paper we prove that this fact extends to every Betti number, in the sense that all the Betti numbers of a minimal free resolution of a lex segment ideal are bigger than or equal to the ones of any homogeneous ideal with the same Hilbert function.
dc.description18 pages, plain tex
dc.identifierhttps://arxiv.org/abs/alg-geom/9205006
dc.identifierhttp://arxiv.org/abs/alg-geom/9205006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/149776
dc.subjectAlgebraic Geometry
dc.titleUpper Bounds for the Betti Numbers of a given Hilbert Function
dc.typetext

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