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Fiber cones of ideals with almost minimal multiplicity
A. V. Jayanthan and J. K. Verma
Source: Nagoya Math. J. Volume 177
(2005), 155-179.
Abstract
Fiber 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.
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Permanent link to this document: http://projecteuclid.org/euclid.nmj/1114632161
Mathematical Reviews number (MathSciNet): MR2124550
Zentralblatt MATH identifier: 02166192
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