Full paper in PDF:
$%C. Hermoso and I. Sols, Bases of homology spaces of the Hilbert scheme of points in an algebraic surface, Rev. Mat. Univ. Complut. Madrid 9 (1996), no. 1, 53–66.%$

We find two basis of the spaces of rational homology of the Hilbert scheme of points in an algebraic surface, by exhibiting two candidates having as cardinalities the known Betti numbers of this scheme and showing that both intersect in a matrix of nonzero determinant.

1991 Mathematics Subject Classification: 14C05, 14C17, 14J99.