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New elementary components of the Gorenstein locus of the Hilbert scheme of points
Published 8 Jun 2022 in math.AG and math.AC | (2206.03732v2)
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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