2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61535We classify minimal-degree curves in the Hilbert schemes of points on algebraic surfaces. When the algebraic surface is the projective plane, the nef cone and a flip structure of these Hilbert schemes are determined.substantially revised, 19 pagesAlgebraic Geometry14C05On the geometry of the Hilbert schemes of points in the projective planetext