New elementary components of the Gorenstein locus of the Hilbert scheme of points
arXiv:2206.03732 · doi:10.1080/00927872.2023.2171425
Abstract
We construct new explicit examples of nonsmoothable Gorenstein algebras with Hilbert function . This gives a new infinite family of elementary components in the Gorenstein locus of the Hilbert scheme of points and solves the cubic case of Iarrobino's conjecture.
18 pages