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| Title: | The Hilbert Coefficients of the Fiber Cone and the a-Invariant of the Associated Graded Ring |
| Authors: | D'CRUZ, C
PUTHENPURAKAL, TJ |
| Keywords: | regular sequences
ideals
depth
reduction
multiplicity
algebras
powers |
| Issue Date: | 2009 |
| Publisher: | CANADIAN MATHEMATICAL SOC |
| Citation: | CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 61(4), 762-778 |
| Abstract: | 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. |
| URI: | http://dspace.library.iitb.ac.in/xmlui/handle/10054/5287
http://hdl.handle.net/10054/5287 |
| ISSN: | 0008-414X |
| Appears in Collections: | Article
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