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Rank two aCM bundles on the del Pezzo threefold with Picard number 3 (1306.6008v4)

Published 25 Jun 2013 in math.AG and math.AC

Abstract: Let k be an algebraically closed field of characteristic 0. A del Pezzo threefold F with maximal Picard number is isomorphic to P1xP1xP1, where P1 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.

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