Fiber cones of ideals with almost minimal multiplicity

Details Fiber cones of ideals with almost minimal multiplicity Fiber cones of ideals with almost minimal multiplicity

2002-12-15

arxiv.org/abs/math/0212196v1

Mathematics

Commutative Algebra

17 pages

Scientific paper

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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