Gorenstein Sets of Points in \({\mathbb {P}}^3\)

In Chap. 9 , we saw that it is possible to construct star configurations via Hadamard products. With this construction we have a complete control both on the coordinates of the points forming the star configuration and on the equations of the hyperplanes involved. Thus, the question if other interesting geometrical objects can be obtained via Hadamard products naturally arises. In Sect. 4.4 , for example, we used Hadamard products to construct planar grids of points with given multiplicities.