3 citations · 3 across the 2 of their papers we have counts for
3 papers
math.AC2024
Jordan degree type for codimension three Gorenstein algebras of small Sperner number
Nancy Abdallah, Nasrin Altafi, Anthony Iarrobino +1
The Jordan type of a linear form acting on a graded Artinian algebra over a field is the partition describing the Jordan block decomposition of the…
math.AC2023
Limits of graded Gorenstein algebras of Hilbert function
Nancy Abdallah, Jacques Emsalem, Anthony Iarrobino +1
Let , the polynomial ring over a field . Several of the authors previously classified nets of ternary conics and their specializations over an algebraicall…
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…