An infinite series of rational components of the moduli space of rank $3$ sheaves on $\Bbb P^3$

We construct an infinite series of irreducible components of the moduli space of stable rank $3$ sheaves on $\Bbb P^3$ with the zero first Chern class and establish the rationality of the components of this series. We also prove the rationality of the irreducible components of the moduli space of stable rank $2$ sheaves on $\Bbb P^3$ belonging to an infinite subseries of the series of irreducible components described by Jardim, Markushevich, and Tikhomirov.