Torus action on the moduli spaces of torsion plane sheaves of multiplicity four
Institution:
1. Korea Institute for Advanced Study, 85 Hoegiro, Dongdaemun-gu, Seoul 130-722, Republic of Korea;2. Institute of Mathematics of the Romanian Academy, Calea Grivitei 21, Bucharest 010702, Romania
Abstract:
We describe the torus fixed locus of the moduli space of stable sheaves with Hilbert polynomial on . We determine 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.