The Chow groups and the motive of the Hilbert scheme of points on a surface

Abstract

We compute the Chow motive and the Chow groups with rational coefficients of the Hilbert scheme of points on a smooth algebraic surface

Uses Diagrams Package by Paul Taylor. The results of this paper have been presented in seminars at The Korean Institute for Advanced Study (December 1999), The University of Hong Kong (January 2000), University of Florence (April 2000), Boston University (May 2000). This preprint has been circulating since March 2000