11 citations · 50 across the 29 of their papers we have counts for
25 papers · 1 filter
Identifying Partitions with maximum commuting orbit
Mats Boij, Anthony Iarrobino, Leila Khatami
The authors here show that the partition in the table of partitions having maximal nilpotent commutator a given stable partition , defined in [IKVZ2…
Jordan Type stratification of spaces of commuting nilpotent matrices
Mats Boij, Anthony Iarrobino, Leila Khatami
An nilpotent matrix is determined up to conjugacy by a partition of , its Jordan type given by the sizes of its Jordan blocks. The Jordan type $\mathfrak D…
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…
Jordan type of an Artinian algebra, a survey
Nasrin Altafi, Anthony Iarrobino, Pedro Macias Marques
We consider Artinian algebras over a field , both graded and local algebras. The Lefschetz properties of graded Artinian algebras have been long studied, but more r…
Hilbert functions and Jordan type of Perazzo Artinian algebras
Nancy Abdallah, Nasrin Altafi, Pietro De Poi +6
We study Hilbert functions, Lefschetz properties, and Jordan type of Artinian Gorenstein algebras associated to Perazzo hypersurfaces in projective space. The main focus lies on Pe…
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…