Rees algebras of unit interval determinantal facet ideals

被引：1

作者：

Almousa, Ayah ^{[1
]}

Lin, Kuei-Nuan ^{[2
]}

Liske, Whitney ^{[3
]}

机构：

[1] Univ Minnesota Twin Cities, Dept Math, Minneapolis, MN 55455 USA

[2] Penn State Univ, Dept Math, Mckeesport, PA 15132 USA

[3] St Vincent Coll, Dept Math, Latrobe, PA 15650 USA

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2024年 / 228卷 / 05期

关键词：

Rees algebras; Determinantal facet ideals; Special fiber; BLOW-UP;

D O I：

10.1016/j.jpaa.2023.107601

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using SAGBI basis techniques, we find Grobner bases for the presentation ideals of the Rees algebras and special fiber rings of unit interval determinantal facet ideals. In particular, we show that unit interval determinantal facet ideals are of fiber type and that their special fiber rings are Koszul. Moreover, their Rees algebras and special fiber rings are normal Cohen-Macaulay domains and have rational singularities. (c) 2023 Elsevier B.V. All rights reserved.

引用

页数：15

共 24 条

[1] Determinantal facet ideals for smaller minors [J].