Two infinite series of moduli spaces of rank 2 sheaves on ${\mathbb{P}}^3$

Marcos Jardim, Dimitri Markushevich, Alexander S. Tikhomirov

We describe new components of the Gieseker--Maruyama moduli scheme $\mathcal{M}(n)$ of semistable rank 2 sheaves $E$ on ${\mathbb{P}}^3$ with $c_1(E)=0$, $c_2(E)=n$ and $c_3(E)=0$ wh…