A local-cohomology replacement for a depth-three step yields non-rational components of Hilb(A^n) for all n ≥ 10 in characteristic zero.
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A One-Variable Frame Construction For Irrational Components of Hilbert Schemes of Points
A local-cohomology replacement for a depth-three step yields non-rational components of Hilb(A^n) for all n ≥ 10 in characteristic zero.