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

Lorenzo Guerrieri Università di Catania

Arithmetic Geometry and Commutative Algebra mathscidoc:1912.43030

Arkiv for Matematik, 57, (1), 85-106, 2019
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 Apéry set of numerical semigroups. To this aim we also prove a general result about the transfer of the Weak Lefschetz property from an Artinian Gorenstein algebra to its quotients modulo a colon ideal.
Lefschetz properties, graded rings, Artinian rings, Gorenstein rings, numerical semigroups
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@inproceedings{lorenzo2019lefschetz,
  title={Lefschetz properties of Gorenstein graded algebras associated to the Apéry set of a numerical semigroup},
  author={Lorenzo Guerrieri},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191204133157809939586},
  booktitle={Arkiv for Matematik},
  volume={57},
  number={1},
  pages={85-106},
  year={2019},
}
Lorenzo Guerrieri. Lefschetz properties of Gorenstein graded algebras associated to the Apéry set of a numerical semigroup. 2019. Vol. 57. In Arkiv for Matematik. pp.85-106. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191204133157809939586.
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