arXiv:1303.0587 Abstract | arXiv Analytics

arXiv:1303.0587 [math.AG]Abstract References Reviews Resources

The homology groups of certain moduli spaces of plane sheaves

Published 2013-03-04, updated 2013-11-13Version 3

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.

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

Categories: math.AG

Subjects: 14D20, 14-04

Keywords: moduli spaces, plane sheaves, integral homology groups, bialynicki-birula method, hodge numbers

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