An $\text{SL}(3,\mathbb{C})$-equivariant smooth compactification of rational quartic plane curves

Kiryong Chung, Jeong-Seop Kim

Let ${\mathbf{R}}_d$ be the space of stable sheaves $F$ which satisfy the Hilbert polynomial $\chi (F(m))=dm+1$ and are supported on rational curves in the projective plane $\mathbb{P}^2…