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math.AC2022
Log-concave Gorenstein sequences
Anthony Iarrobino
We show here that codimension three Artinian Gorenstein sequences are log-concave, and that there are codimension four Artinian Gorenstein sequences that are not log-concave. We al…
math.AC2022★ 3 cited
Lefschetz properties of some codimension three Artinian Gorenstein algebras
Nancy Abdallah, Nasrin Altafi, Anthony Iarrobino +2
Codimension two Artinian algebras have the strong and weak Lefschetz properties provided the characteristic is zero or greater than the socle degree. It is open to what extent…