Bounds for the Minimum Distance Function

Luis Núñez-Betancourt; Yuriko Pitones; Rafael H. Villarreal

Bounds for the Minimum Distance Function

Commutative Algebra 2020-12-08 v1

Authors: Luis Núñez-Betancourt , Yuriko Pitones , Rafael H. Villarreal

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 $\delta_I$ of $I$ and give bounds for its stabilization point, $r_I$ , 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 $I$ .

Keywords

castelnuovo-mumford regularity monomial ideals minimizers

Cite

@article{arxiv.2012.02882,
  title  = {Bounds for the Minimum Distance Function},
  author = {Luis Núñez-Betancourt and Yuriko Pitones and Rafael H. Villarreal},
  journal= {arXiv preprint arXiv:2012.02882},
  year   = {2020}
}

Comments

11 pages

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