Göttsche received international acclaim with his formula for the generating function for the Hilbert numbers of the Betti scheme of points on an algebraic surface : With his formula for the creating function for the Hilbert - numbers of the betti scheme of points on an algebraic surface , Göttsche received international recognition : With his formula for the producing function for the Betti - numbers of the Hilbert scheme of points on an algebraic surface , Göttsche received international recognition :