Monomial ideals and the failure of the Strong Lefschetz property

被引：0

作者：

Altafi, Nasrin ^{[1
]}

Lundqvist, Samuel ^{[2
]}

机构：

[1] KTH Royal Inst Technol, Dept Math, Stockholm, Sweden

[2] Stockholm Univ, Dept Math, Stockholm, Sweden

来源：

COLLECTANEA MATHEMATICA | 2022年 / 73卷 / 03期

关键词：

Lefschetz properties; Hilbert series; Monomial ideals; Generic forms; Inverse system; COMPLETE-INTERSECTIONS; WEAK;

D O I：

10.1007/s13348-021-00324-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a sharp lower bound for the Hilbert function in degree d of artinian quotients k[x(1), ... , x(n)]/I failing the Strong Lefschetz property, where I is a monomial ideal generated in degree d >= 2. We also provide sharp lower bounds for other classes of ideals, and connect our result to the classification of the Hilbert functions forcing the Strong Lefschetz property by Zanello and Zylinski.

引用

页码：383 / 390

页数：8

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