Affine pavings for moduli spaces of pure sheaves on ${\mathbb{P}}^2$ with degree $\le 5$

Yao Yuan

Let $M(d,r)$ be the moduli space of semistable sheaves of rank 0, Euler characteristic $r$ and first Chern class $dH(d>0)$, with $H$ the hyperplane class in ${\mathbb{P}}^2$. By pre…