Series of rational moduli components of stable rank 2 vector bundles on ${\mathbb{P}}^3$

Alexey Kytmanov, Alexander Tikhomirov, Sergey Tikhomirov

We study the problem of rationality of an infinite series of components, the so-called Ein components, of the Gieseker-Maruyama moduli space $M(e,n)$ of rank 2 stable vector bundle…