Please use this identifier to cite or link to this item: http://dspace.library.iitb.ac.in/xmlui/handle/10054/10168
Title: Fiber cones of ideals with almost minimal multiplicity
Authors: JAYANTHAN, AV
VERMA, JK
Keywords: Macaulay Local-Rings
Hilbert Coefficients
Embedding Dimension
Graded Rings
Singularities
Filtrations
Evolutions
Number
Depth
Issue Date: 2005
Publisher: NAGOYA UNIV
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.
URI: http://dspace.library.iitb.ac.in/xmlui/handle/10054/10168
http://hdl.handle.net/10054/10168
ISSN: 0027-7630
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