Torus action on the moduli spaces of torsion plane sheaves of multiplicity four

摘要

Wedescribe the torus fixed locus of the moduli space of stable sheaves with Hilbert polynomial 4m+1 on P~2.Wedetermine the torus representation of the tangent spaces at the fixed points, which leads to the computation of the Betti and Hodge numbers of the moduli space.