Rank two aCM bundles on the del Pezzo threefold with Picard number 3

A del Pezzo threefold F   with maximal Picard number is isomorphic to P1×P1×P1P1×P1×P1. In the present paper we completely classify locally free sheaves EE of rank 2 such that hi(F,E(t))=0hi(F,E(t))=0 for i=1,2i=1,2 and t∈Zt∈Z. Such a classification extends similar results proved by E. Arrondo and L. Costa regarding del Pezzo threefolds with Picard number 1.