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

Gianfranco Casnati, Daniele Faenzi, Francesco Malaspina

Published 2013-06-25, updated 2014-10-15Version 3

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.