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The Hilbert Coefficients of the Fiber Cone and the a-Invariant of the Associated Graded Ring

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Title The Hilbert Coefficients of the Fiber Cone and the a-Invariant of the Associated Graded Ring
 
Creator D'CRUZ, C
PUTHENPURAKAL, TJ
 
Subject regular sequences
ideals
depth
reduction
multiplicity
algebras
powers
fiber cone
a-invariant
hilbert coefficients of fiber cone
 
Description Let (A, m) be a Noetherian local ring with infinite residue field and let I bean ideal in A and let F(I) = circle plus(n >= 0) I(n)/mI(n) be the fiber cone of I. We prove certain relations among the Hilbert coefficients f(0)(1), f(1)(1), f(2)(I) of F(I) when the a-invariant of the associated graded ring G(1) is negative.
 
Publisher CANADIAN MATHEMATICAL SOC
 
Date 2011-07-19T11:43:57Z
2011-12-26T12:51:11Z
2011-12-27T05:37:39Z
2011-07-19T11:43:57Z
2011-12-26T12:51:11Z
2011-12-27T05:37:39Z
2009
 
Type Article
 
Identifier CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 61(4), 762-778
0008-414X
http://dspace.library.iitb.ac.in/xmlui/handle/10054/5287
http://hdl.handle.net/10054/5287
 
Language en