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math.AG2026
An obstruction to lifting schemes to spectral schemes
Robert Szafarczyk
-rings are a globalization of -rings. Motivated by their application to obstructing spectral lifts, we develop the theory of animated -rings. They extend the discr…
math.AG2022★ 4 cited
New elementary components of the Gorenstein locus of the Hilbert scheme of points
Robert Szafarczyk
We construct new explicit examples of nonsmoothable Gorenstein algebras with Hilbert function . This gives a new infinite family of elementary components in the Gorenste…