2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77762We use basic algebraic topology and Ellingsrud-Stromme results on the Betti numbers of punctual Hilbert schemes of surfaces to compute a generating function for the Euler characteristic numbers of the Douady spaces of "n-points" associated with a complex surface. The projective case was first proved by L. Göttsche.Latex, 6 pagesAlgebraic GeometryHilbert schemes of a surface and Euler characteristicstext