Buchsbaum homogeneous algebras with minimal multiplicity

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dc.creatorGoto, Shiro
dc.creatorYoshida, Ken-ichi
dc.date2006-07-18
dc.date.accessioned2026-07-07T07:18:28Z
dc.date.available2026-07-07T07:18:28Z
dc.descriptionIn this paper we first give a lower bound on multiplicities for Buchsbaum homogeneous $k$-algebras $A$ in terms of the dimension $d$, the codimension $c$, the initial degree $q$, and the length of the local cohomology modules of $A$. Next, we introduce the notion of Buchsbaum $k$-algebras with minimal multiplicity of degree $q$, and give several characterizations for those rings. In particular, we will show that those algebras have linear free resolutions. Further, we will give many examples of those algebras.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0607415
dc.identifierhttp://arxiv.org/abs/math/0607415
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114314
dc.subjectCommutative Algebra
dc.subjectCombinatorics
dc.subject13H10; 13H15
dc.titleBuchsbaum homogeneous algebras with minimal multiplicity
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