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The homology groups of certain moduli spaces of plane sheaves

Published 4 Mar 2013 in math.AG | (1303.0587v3)

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.

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