Edge rings with q-linear resolutions

被引：1
|
作者：
Mori, Kenta [1 ]
Ohsugi, Hidefumi [2 ]
Tsuchiya, Akiyoshi [3 ]
机构：
[1] Kwansei Gakuin Univ, Grad Sch Sci & Technol, Dept Math Sci, Sanda, Hyogo 6691337, Japan
[2] Kwansei Gakuin Univ, Sch Sci, Dept Math Sci, Sanda, Hyogo 6691337, Japan
[3] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, Tokyo 1538914, Japan
来源：
JOURNAL OF ALGEBRA | 2022年 / 593卷
关键词：
Finite graph; Edge ring; Linear resolution; delta-polynomial; TORIC IDEALS;
D O I：
10.1016/j.jalgebra.2021.11.018
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper, we give a complete classification of connected simple graphs whose edge rings have a q-linear resolution with q >= 2. In particular, we show that the edge ring of a finite connected simple graph with a q-linear resolution, where q >= 3, is a hypersurface, which was conjectured by Hibi, Matsuda, and Tsuchiya. (c) 2021 The Author(s). Published by Elsevier Inc.
引用
收藏
页码：550 / 567
页数：18
相关论文
共 50 条
12345