REES ALGEBRAS OF SPARSE DETERMINANTAL IDEALS

被引：0

作者：

Celikbas, Ela ^{[1
]}

Dufresne, Emilie ^{[2
]}

Fouli, Louiza ^{[3
]}

Gorla, Elisa ^{[4
]}

Lin, Kuei-nuan ^{[5
]}

Polini, Claudia ^{[6
]}

Swanson, Irena ^{[7
]}

机构：

[1] West Virginia Univ, Sch Math & Data Sci, Morgantown, WV 26506 USA

[2] Univ York, Dept Math, York, England

[3] New Mexico State Univ, Dept Math Sci, Las Cruces, NM 88003 USA

[4] Univ Neuchatel, Inst Math, Rue Emile Argand 11, CH-2000 Neuchatel, Switzerland

[5] Penn State Univ, Dept Math, Greater Allegheny Campus, McKeesport, PA 15132 USA

[6] Univ Notre Dame, Dept Math, 255 Hurley, Notre Dame, IN 46556 USA

[7] Purdue Univ, Dept Math, 150 N Univ St, W Lafayette, IN 47907 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2024年 / 377卷 / 04期

基金：

美国国家科学基金会;

关键词：

Rees algebra; special fiber ring; determinantal ideal; sparse matrix; toric ring; Koszul algebra; ladder determinantal ring; SAGBI basis; Grobner basis; Plucker relations; GROBNER BASES; BLOW-UP; SINGULARITIES; INVARIANTS; VARIETIES; POWERS; RINGS;

D O I：

10.1090/tran/9101

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We determine the defining equations of the Rees algebra and of the special fiber ring of the ideal of maximal minors of a 2 x n sparse matrix. We prove that their initial algebras are ladder determinantal rings. This allows us to show that the Rees algebra and the special fiber ring are Cohen-Macaulay domains, they are Koszul, they have rational singularities in characteristic zero and are F-rational in positive characteristic.

引用

页码：2317 / 2333

页数：17

共 43 条

[1] Rees algebras of unit interval determinantal facet ideals [J].