Moduli spaces of rank two aCM bundles on the Segre product of three projective lines

Let F⊆P7 be the image of the Segre embedding of P1×P1×P1. In the present paper we deal with the moduli spaces of locally free sheaves E of rank 2 with hi(F,E(t))=0 for i=1,2 and t∈Z, on F.