Hilbert-Poincare series of parity binomial edge ideals and permanental ideals of complete graphs

被引：0
|
作者：
Do Trong Hoang [1 ]
Kahle, Thomas [2 ]
机构：
[1] Hanoi Univ Sci & Technol, Sch Appl Math & Informat, 1 Dai Co Viet, Hanoi, Vietnam
[2] Otto von Guericke Univ, Fak Math, Univ Pl 2, D-39106 Magdeburg, Germany
来源：
COLLECTANEA MATHEMATICA | 2021年 / 72卷 / 03期
关键词：
Betti numbers; Parity binomial edge ideal; Hilbert-Poincare series;
D O I：
10.1007/s13348-020-00294-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give an explicit formula for the Hilbert-Poincare series of the parity binomial edge ideal of a complete graph K-n or equivalently for the ideal generated by all 2 x 2-permanents of a 2 x n-matrix. It follows that the depth and Castelnuovo-Mumford regularity of these ideals are independent of n.
引用
收藏
页码：471 / 479
页数：9
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