Construction of stable rank 2 vector bundles on ${\mathbb{P}}^3$ via symplectic bundles

Alexander Tikhomirov, Sergey Tikhomirov, Danil Vasiliev

In this article we study the Gieseker-Maruyama moduli spaces $\mathcal{B}(e,n)$ of stable rank 2 algebraic vector bundles with Chern classes $c_1=e\in \{-1,0\},c_2=n\ge 1$ on the p…