Taiwanese Journal of Mathematics

Castelnuovo-Mumford Regularity and Hilbert Coefficients of Parameter Ideals

Cao Huy Linh

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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.

Article information

Source
Taiwanese J. Math., Advance publication (2019), 17 pages.

Dates
First available in Project Euclid: 30 January 2019

Permanent link to this document
https://projecteuclid.org/euclid.twjm/1548817227

Digital Object Identifier
doi:10.11650/tjm/190106

Subjects
Primary: 13D45: Local cohomology [See also 14B15] 13D07: Homological functors on modules (Tor, Ext, etc.)
Secondary: 14B15: Local cohomology [See also 13D45, 32C36]

Keywords
Hilbert coefficients the depth of associated graded rings parameter ideals Castelnuovo-Mumford regularity postulation number

Citation

Linh, Cao Huy. Castelnuovo-Mumford Regularity and Hilbert Coefficients of Parameter Ideals. Taiwanese J. Math., advance publication, 30 January 2019. doi:10.11650/tjm/190106. https://projecteuclid.org/euclid.twjm/1548817227


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