Minimal Betti Numbers

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dc.creatorDodd, Christopher
dc.creatorMarks, Andrew
dc.creatorMeyerson, Victor
dc.creatorRichert, Ben
dc.date2006-04-22
dc.date2007-01-09
dc.date.accessioned2026-07-07T07:39:07Z
dc.date.available2026-07-07T07:39:07Z
dc.descriptionWe give conditions for determining the extremal behavior for the (graded) Betti numbers of squarefree monomial ideals. For the case of non-unique minima, we give several conditions which we use to produce infinite families, exponentially growing with dimension, of Hilbert functions which have no smallest (graded) Betti numbers among squarefree monomial ideals and all ideals. For the case of unique minima, we give two families of Hilbert functions, one with exponential and one with linear growth as dimension grows, that have unique minimal Betti numbers among squarefree monomial ideals.
dc.identifierhttps://arxiv.org/abs/math/0604479
dc.identifierhttp://arxiv.org/abs/math/0604479
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121330
dc.subjectCommutative Algebra
dc.subject13F55; 13D02
dc.titleMinimal Betti Numbers
dc.typetext

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