On the homology of the moduli space of plane sheaves with Hilbert polynomial 5m+3

摘要

We compute the Hodge numbers of the moduli space of semistable sheaves on the complex projective plane supported on quintic curves and having Euler characteristic 3. For this purpose, we study the fixed-point set for a certain torus action on the moduli space. (C) 2014 Elsevier Masson SAS. All rights reserved.