The Jordan type of graded Artinian Gorenstein algebras

The Jordan type of graded Artinian Gorenstein algebras

We study the generic Jordan type of standard graded Artinian Gorenstein algebras, it is a finer invariant than whether the algebra satisfies some of the Lefschetz properties. We prove that their Jordan types are determined by the ranks of certain Mixed Hessians. We determine the possible Jordan type...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Advances in applied mathematics 2019-10, Vol.111, p.101941, Article 101941
Hauptverfasser: Costa, Barbara, Gondim, Rodrigo
Format: Artikel
Sprache:eng
Schlagworte:
Algebraic geometry
Jordan type
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We study the generic Jordan type of standard graded Artinian Gorenstein algebras, it is a finer invariant than whether the algebra satisfies some of the Lefschetz properties. We prove that their Jordan types are determined by the ranks of certain Mixed Hessians. We determine the possible Jordan types for algebras of low socle degree and codimension.
ISSN:0196-8858
1090-2074
DOI:10.1016/j.aam.2019.101941