Abstract
Let $A$ be a noetherian local ring of dimension $d \geq 1$ and $\operatorname{depth}(A) \geq d-1$. In this paper, we study the non-positivity for the Hilbert coefficients of parameter ideals in the ring $A$. Moreover, we establish a bound for the Castelnuovo-Mumford regularity of associated graded ring of $A$ with respect to parameter ideal in terms of the first Hilbert coefficient and the dimension.
Citation
Cao Huy Linh. "Castelnuovo-Mumford Regularity and Hilbert Coefficients of Parameter Ideals." Taiwanese J. Math. 23 (5) 1115 - 1131, October, 2019. https://doi.org/10.11650/tjm/190106
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