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|Title:||Fiber cones of ideals with almost minimal multiplicity|
|Citation:||NAGOYA MATHEMATICAL JOURNAL, 177(), 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.|
|Appears in Collections:||Article|
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