<abstract xmlns="http://www.w3.org/1999/xhtml">

Let <italic>I</italic> be a homogeneous ideal in a polynomial ring <italic>S</italic>. In this paper, we extend the study of the asymptotic behavior of the minimum distance function <italic>δI</italic> of <italic>I</italic> and give bounds for its stabilization point, <italic>rI</italic>, when <italic>I</italic> is an <italic>F</italic> -pure or a square-free monomial ideal. These bounds are related with the dimension and the Castelnuovo–Mumford regularity of <italic>I</italic>.
</abstract>

Let I be a homogeneous ideal in a polynomial ring S. In this paper, we extend the study of the asymptotic behavior of the minimum distance function δI of I and give bounds for its stabilization point, rI, when I is an F -pure or a square-free monomial ideal. These bounds are related with the dimension and the Castelnuovo–Mumford regularity of I.

Bounds for the minimum distance function

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Bounds for the minimum distance function"}

Let I be a homogeneous ideal in a polynomial ring S. In this paper, we extend the study of the asymptotic behavior of the minimum distance function δI of I and...

Bounds for the minimum distance function

Published Online: Nov 23, 2021

Page range: 229 - 242

Received: Dec 29, 2020

Accepted: Mar 28, 2021

DOI: https://doi.org/10.2478/auom-2021-0042

Keywords
Minimum distance, Castelnuovo–Mumford regularity, monomial ideal

© 2021 Luis Núñez-Betancourt et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Bounds for the minimum distance function

Published Online: Nov 23, 2021

Page range: 229 - 242

Received: Dec 29, 2020

Accepted: Mar 28, 2021

DOI: https://doi.org/10.2478/auom-2021-0042

KeywordsMinimum distance, Castelnuovo–Mumford regularity, monomial ideal

© 2021 Luis Núñez-Betancourt et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Minimum distance, Castelnuovo–Mumford regularity, monomial ideal