A simple proof of the formula for the Betti numbers of the quasihomogeneous Hilbert schemes (1302.2789v3)

Abstract: In a paper the first two authors proved that the generating series of the Poincare polynomials of the quasihomogeneous Hilbert schemes of points in the plane has a simple decomposition in an infinite product. In this paper we give a very short geometrical proof of that formula.