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Artinian Gorenstein algebras of embedding dimension four: Components of PGor(H) for H=(1,4,7,..., 1)
Anthony Iarrobino, Hema Srinivasan
We first determine all height four Gorenstein sequences beginning H=(1,4,7,...), and we show that their first differences satisfy is an O-sequence. We then study the…
Hilbert functions of Gorenstein algebras associated to a pencil of forms
Anthony Iarrobino
Let R be a polynomial ring in r variables and D a dual ring upon which R acts as partial differential operators (classical apolarity). For a type two graded level Artinian algebras…
Betti strata of height two ideals
Anthony Iarrobino
We determine the codimension of the Betti strata of the family G(H) parametrizing graded Artinian quotients A of the polynomial ring R in two variables, having Hilbert function H.…
Ancestor ideals of vector spaces of forms, and level algebras
Anthony Iarrobino
Let R be the polynomial ring in r variables over a field k, with maximal ideal M and let V denote a vector subspace of the space of degree-j homogeneous elements of R. We study thr…