An elementary, explicit, proof of the existence of Hilbert schemes of points

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75442We give a short, elementary and explicit proof of the existence of Hilbert schemes of points on affine schemes. As a direct consequence we obtain the existence of the Hilbert scheme of points on any projective scheme, not necessarily of finite type, over any base scheme.Algebraic GeometryCommutative Algebra14C05An elementary, explicit, proof of the existence of Hilbert schemes of pointstext