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

Abstract

Let k be an algebraically closed field of characteristic 0. A del Pezzo threefold F with maximal Picard number is isomorphic to P^1xP^1xP^1, where P^1 is the projective line over k. In the present paper we completely classify locally free sheaves of rank 2 with vanishing intermediate cohomology over such an F. Such a classification extends similar results proved by E. Arrondo and L. Costa regarding del Pezzo threefolds with Picard number 1.

24 pages. Some minor misprints corrected, a new lemma on rational normal curves of degree 7 inserted