Bounds for the minimum distance function-Reference-Cited by-同舟云学术

Bounds for the minimum distance function

Published:2021-11-01 Issue:3 Volume:29 Page:229-242
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Núñez-Betancourt Luis¹,Pitones Yuriko²,Villarreal Rafael H.³

Affiliation:

1. Centro de Investigación en Matemáticas , Guanajuato, Gto., México., Supported by CONACyT Grant 284598, Ctedras Marcos Moshinsky, and SNI , Mexico .

2. Centro de Investigación en Matemáticas , Guanajuato, Gto., México. Supported by CONACyT Grant 427234 and CONACyT Postdoctoral Fellowship 177609.

3. Departamento de Matemáticas , Centro de Investigación y de Estudios Avanzados del IPN , Apartado Postal 14–740, 07000 Mexico City, D.F., Supported by SNI, México .

Abstract

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.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/auom-2021-0042

Reference14 articles.

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