Defining ideals of Cohen-Macaulay fiber cones

被引：0

作者：

Abdolmaleki, Reza ^{[1
]}

Kumashiro, Shinya ^{[2
]}

机构：

[1] Lahore Univ Management Sci, Dept Math, Lahore, Pakistan

[2] Osaka Inst Technol, Dept Math, 5-16-1 Omiya,Asahi Ku, Osaka 5358585, Japan

来源：

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2024年 / 34卷 / 07期

关键词：

Defining ideal; fiber cone; reduction; Cohen-Macaulay ring;

D O I：

10.1142/S0218196724500437

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be a commutative Noetherian local ring with maximal ideal m, and let I be an ideal. The fiber cone is then an image of the polynomial ring over the residue field A/m. The kernel of this map is called the defining ideal, and it is natural to ask how to compute it. In this paper, we provide a construction for the defining ideals of Cohen-Macaulay fiber cones.

引用

页码：1099 / 1109

页数：11

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