Artinian Gorenstein algebras with Macaulay dual generator with fixed Waring rank

Janaine Martins, Rosa M. Miró-Roig

In this paper, we prove that the Artinian Gorenstein $\mathbb{K}$-algebra $A_{F_s}$ of codimension $n$, socle degree $d$ and Macaulay dual generator $F_s := \ell_1^d + \dots + \ell…