Apolarity, Hessian and Macaulay Polynomials
Apolarity, Hessian and Macaulay Polynomials
A result by Macaulay states that an Artinian graded Gorenstein ring R of socle dimension one and socle degree δ can be realized as the apolar ring of a homogeneous polynomial g of degree δ in x 0, ⋅, x n . If R is the Jacobian ring of a …