The homology groups of certain moduli spaces of plane sheaves

Abstract

Using the Bialynicki-Birula method, we determine the additive structure of the integral homology groups of the moduli spaces of semi-stable sheaves on the projective plane having rank and Chern classes (5, 1, 4), (7, 2, 6), respectively, (0, 5, 19). We compute the Hodge numbers of these moduli spaces.

arXiv commentThe second version is an expansion of the first. In the third version some errors are corrected. To appear in the International Journal of Mathematics