论文标题

弱Lefschetz属性的分类,用于几乎由一般线性形式均匀产生的完整交叉点

A classification of the weak Lefschetz property for almost complete intersections generated by uniform powers of general linear forms

论文作者

Boij, Mats, Lundqvist, Samuel

论文摘要

我们使用Macaulay的反系统来研究希尔伯特系列,以几乎由一般线性形式的均匀幂产生的几乎完整的交叉点。这使我们能够为这些代数的弱Lefschetz特性提供分类,并解决了Migliore,Miró-Roig和Nagel的猜想。

We use Macaulay's inverse system to study the Hilbert series for almost complete intersections generated by uniform powers of general linear forms. This allows us to give a classification of the Weak Lefschetz property for these algebras, settling a conjecture by Migliore, Miró-Roig, and Nagel.

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