The singularities of the principal component of the Hilbert scheme of points

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/167117We show that the principal component of the Hilbert scheme of 9 points in C^8 is not Cohen-Macaulay.16 pages. This version significantly improves the author's previous version "On the symmetric subscheme of the Hilbert scheme of points". v2: a minor change in Proposition 6Algebraic GeometryCommutative AlgebraRepresentation Theory14C05, 13C14The singularities of the principal component of the Hilbert scheme of pointstext