Affine pavings for moduli spaces of pure sheaves on with degree

摘要

Let be the moduli space of semistable sheaves of rank 0, Euler characteristic and first Chern class , with the hyperplane class in . In [14] we gave an explicit description of the class of in the Grothendieck ring of varieties for and . In this paper we compute the fixed locus of under some -action and show that admits an affine paving for and . We also pose a conjecture that for any and coprime to , would admit an affine paving.