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
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.
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页数：11
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