最小距离函数的边界

Pub Date : 2020-12-04 DOI:10.2478/auom-2021-0042

Luis N'unez-Betancourt, Yuriko Pitones, R. Villarreal

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引用次数: 4

摘要

摘要本文推广了I的最小距离函数δI的渐近性质，给出了当I是F纯理想或无平方单项式理想时，它的稳定点rI的界。这些边界与I的维数和Castelnuovo-Mumford正则性有关。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Bounds for the minimum distance function

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.

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