58 citations · 166 across the 43 of their papers we have counts for
41 papers · 1 filter
Symbolic Powers and Asymptotic Invariants of GL-Invariant Ideals
Sankhaneel Bisui, Alexandra Seceleanu
This work concerns ideals invariant under the action of the group of linear base changes on a generic matrix; we call these GL-invariant ideals. We determine the ordinary powers, t…
Multicomplex Configurations: a case study in Gorenstein Liaison
Patricia Klein, Jenna Rajchgot, Alexandra Seceleanu
We introduce and investigate multicomplex configurations, a class of projective varieties constructed via specialization of the polarizations of Artinian monomial ideals. Building…
General symmetric ideals
Alexandra Seceleanu, Liana Şega
We investigate the structure and properties of symmetric ideals generated by general forms in the polynomial ring under the natural action of the symmetric group. This work signifi…
Artinian Gorenstein algebras with binomial Macaulay dual generator
Nasrin Altafi, Rodica Dinu, Sara Faridi +4
This paper initiates a systematic study for key properties of Artinian Gorenstein \(K\)-algebras having binomial Macaulay dual generators. In codimension 3, we demonstrate that all…
New families of Artinian Gorenstein algebras with the weak Lefschetz property
Nasrin Altafi, Rodica Dinu, Shreedevi K. Masuti +3
We construct new families of Artinian Gorenstein graded -algebras of arbitrary codimension having binomial Macaulay dual generators and satisfying the weak or the strong Lefsche…
Polarization and Gorenstein liaison
Sara Faridi, Patricia Klein, Jenna Rajchgot +1
A major open question in the theory of Gorenstein liaison is whether or not every arithmetically Cohen--Macaulay subscheme of can be G-linked to a complete intersect…