11 citations · 20 across the 12 of their papers we have counts for
13 papers
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…
Lattice Paths, Lefschetz Properties, and Almkvist's Conjecture in Two Variables
Nancy Abdallah, Chris McDaniel
We study a certain two-parameter family of non-standard graded complete intersections . In case , we show that has the strong Lefschetz property and the compl…
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…
A note on Artin Gorenstein algebras with Hilbert function (1,4,k,k,4,1)
Nancy Abdallah
We study the free resolutions of some Artin Gorenstein algebras of Hilbert function and we prove that all such algebras have the Strong Lefschetz property if they h…
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…
Nets in and Alexander Duality
Nancy Abdallah, Hal Schenck
A net in is a configuration of lines and points satisfying certain incidence properties. Nets appear in a variety of settings, ranging from quasigro…
Free resolutions and Lefschetz properties of some Artin Gorenstein rings of codimension four
Nancy Abdallah, Hal Schenck
In 1978, Stanley constructed an example of an Artinian Gorenstein (AG) ring with non-unimodal -vector . Migliore-Zanello later showed that for regularity $r=…
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…
Nets of Conics and associated Artinian algebras of length 7
Nancy Abdallah, Jacques Emsalem, Anthony Iarrobino
We classify the orbits of nets of conics under the action of the projective linear group and we determine the specializations of these orbits, using geometric and algebraic methods…
Topology of posets with special partial matchings
Nancy Abdallah, Mikael Hansson, Axel Hultman
Special partial matchings (SPMs) are a generalisation of Brenti's special matchings. Let a \emph{pircon} be a poset in which every non-trivial principal order ideal is finite and a…
Combinatorial Invariance of Kazhdan-Lusztig-Vogan Polyomials for Fixed Point Free Involutions
Nancy Abdallah, Axel Hultman
When acts on the flag variety of , the orbits are in bijection with fixed point free involutions in the symmetric group . In this cas…
On Hodge Theory of Singular Plane Curves
Nancy Abdallah
The dimensions of the graded quotients of the cohomology of a plane curve complement with respect to the Hodge filtration are described in terms of simple geometrical invariants. T…
On Plane Curves with Double and Triple Points
Nancy Abdallah
We describe in simple geometric terms the Hodge filtration on the cohomology groups of the complement U in the projective plane of a curve C with ordinary double and triple points.…