Fiber cones of ideals with almost minimal multiplicity

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dc.creatorJayanthan, A. V.
dc.creatorVerma, J. K.
dc.date2002-12-15
dc.date.accessioned2026-07-07T04:53:47Z
dc.date.available2026-07-07T04:53:47Z
dc.descriptionFiber cones of 0-dimensional ideals with almost minimal multiplicity in Cohen-Macaulay local rings are studied. Ratliff-Rush closure of filtration of ideals with respect to another ideal is introduced. This is used to find a bound on the reduction number with respect to an ideal. Rossi's bound on reduction number in terms of Hilbert coefficients is obtained as a consequence. Sufficient conditions are provided for the fiber cone of 0-dimensional ideals to have almost maximal depth. Hilbert series of such fiber cones are also computed.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math/0212196
dc.identifierhttp://arxiv.org/abs/math/0212196
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65990
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13H10, 13H15 (Primary), 13C15, 13A02 (Secondary)
dc.titleFiber cones of ideals with almost minimal multiplicity
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