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Fiber cones of ideals with almost minimal multiplicity

DSpace at IIT Bombay

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Field Value
 
Title Fiber cones of ideals with almost minimal multiplicity
 
Creator JAYANTHAN, AV
VERMA, JK
 
Subject macaulay local-rings
hilbert coefficients
embedding dimension
graded rings
singularities
filtrations
evolutions
number
depth
 
Description 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.
 
Publisher NAGOYA UNIV
 
Date 2011-08-19T00:41:13Z
2011-12-26T12:55:58Z
2011-12-27T05:43:44Z
2011-08-19T00:41:13Z
2011-12-26T12:55:58Z
2011-12-27T05:43:44Z
2005
 
Type Article
 
Identifier NAGOYA MATHEMATICAL JOURNAL, 177(), 155-179
0027-7630
http://dspace.library.iitb.ac.in/xmlui/handle/10054/10168
http://hdl.handle.net/10054/10168
 
Language en