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arXiv · 2206.03732

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

Robert Szafarczyk
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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.

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Robert Szafarczyk. 2022-06-08. New elementary components of the Gorenstein locus of the Hilbert scheme of points. https://doi.org/10.1080/00927872.2023.2171425

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