<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

Publicado en línea: 23 nov 2021

Páginas: 229 - 242

Recibido: 29 dic 2020

Aceptado: 28 mar 2021

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

Palabras clave
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

Publicado en línea: 23 nov 2021

Páginas: 229 - 242

Recibido: 29 dic 2020

Aceptado: 28 mar 2021

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

Palabras claveMinimum 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.

Palabras clave
Minimum distance, Castelnuovo–Mumford regularity, monomial ideal