2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65285We discuss the parabolic Hilbert scheme of points on smooth surface, which is an interesting generalization of Hilbert scheme of points on surface. Some of the studies by Ellingsrud-Stromme, Goettsche, Cheah, Nakajima and Grojnowski can be generalized in our parabolic case.Algebraic Geometry14F45, 14M99The geometry of the parabolic Hilbert schemestext