数值半群Apéry集上Gorenstein分次代数的Lefschetz性质

Pub Date : 2017-12-05 DOI:10.4310/ARKIV.2019.V57.N1.A5

L. Guerrieri

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引用次数: 7

摘要

本文研究了两类标准分次Artinian-Gorenstein代数的弱Lefschetz性质，它们以自然的方式与数值半群的Ap’ery集相关联。为此，我们还证明了关于弱Lefschetz性质从Artinian-Gorenstein代数转移到其商模冒号理想的一般结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Lefschetz properties of Gorenstein graded algebras associated to the Apéry set of a numerical semigroup

In this paper we study the Weak Lefschetz property of two classes of standard graded Artinian Gorenstein algebras associated in a natural way to the Ap\'ery set of numerical semigroups. To this aim we also prove a general result about the transfer of Weak Lefschetz property from an Artinian Gorenstein algebra to its quotients modulo a colon ideal.

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