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

Author:

D'Cruz Clare,Puthenpurakal Tony J.

Abstract

Abstract.Let (A,m) be a Noetherian local ring with infinite residue field and let I be an ideal in A and let be the fiber cone of I. We prove certain relations among the Hilbert coefficients f0(I), f1(I), f2(I) of F(I) when the a-invariant of the associated graded ring G(I) is negative.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Coefficient ideals of the fiber cone;Bulletin des Sciences Mathématiques;2022-11

2. Homology, mixed multiplies and Hilbert coefficients of the fiber cone;Journal of Algebra and Its Applications;2019-03-25

3. SOME RESULTS ON CASTELNUOVO-MUMFORD REGULARITY OF THE FIBER CONE;JP Journal of Algebra, Number Theory and Applications;2016-06-30

4. On the depth of fiber cones of stretched m-primary ideals;Indian Journal of Pure and Applied Mathematics;2014-12

5. Primary Ideals with Good Fiber Cone;Communications in Algebra;2011-07

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