Journal of the Ramanujan Mathematical Society
Volume 35, Issue 2, June 2020 pp. 121–138.
On the Vanishing of the normal Hilbert coefficients of ideals
Authors:
Kriti Goel, Vivek Mukundan and J. K. Verma
Author institution:Indian Institute of, Technology Bombay, Mumbai 400 076, India
Summary:
Using vanishing of graded components of local cohomology modules
of the Rees algebra of the normal filtration of an ideal, we give
bounds on the normal reduction number. This helps to get necessary
and sufficient conditions in Cohen-Macaulay local rings of
dimension d ≥ 3, for the vanishing of the normal Hilbert
coefficients e̅ k(I) for k ≤ d, in terms of the normal
reduction number.
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