Nancy Abdallah

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20142024

most citedHilbert functions and Jordan type of Perazzo Artinian algebras

11 citations · 20 across the 12 of their papers we have counts for

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math.AC2023★ 11 cited

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…

math.AC2023

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 $(1, 4, k, k, 4, 1)$ and we prove that all such algebras have the Strong Lefschetz property if they h…

math.AC2023

Limits of graded Gorenstein algebras of Hilbert function $(1, 3^{k}, 1)$

Nancy Abdallah, Jacques Emsalem, Anthony Iarrobino +1

Let $R = k [x, y, z]$ , the polynomial ring over a field $k$ . Several of the authors previously classified nets of ternary conics and their specializations over an algebraicall…

Hilbert functions and Jordan type of Perazzo Artinian algebras

A note on Artin Gorenstein algebras with Hilbert function (1,4,k,k,4,1)

Limits of graded Gorenstein algebras of Hilbert function (1,3k,1)

Limits of graded Gorenstein algebras of Hilbert function $(1, 3^{k}, 1)$