Affine pavings for moduli spaces of pure sheaves on with degree

作者：Yuan Yao^*

来源：Geometriae Dedicata, 2015, 177(1): 385-400.

DOI：10.1007/s10711-014-9995-x

• Moduli spaces of 1-dimensional semistable sheaves on the projective plan
• Affine pavings
• Cellular decompositions

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.

• 出版日期2015-8
• 单位清华大学