New elementary components of the Gorenstein locus of the Hilbert scheme of points

Abstract

We construct new explicit examples of nonsmoothable Gorenstein algebras with Hilbert function $(1,n,n,1)$. 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.

arXiv comment18 pages

References in corpus (2)

• Classifying local Artinian Gorenstein algebras
• Elementary components of Hilbert schemes