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

页码：550 / 567

页数：18

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