Abstract
ABSTRACTLet (F,𝒪F(1)) be a smooth polarized projective variety of dimension n. In the present paper, we prove some easy results on aCM bundles of rank 2 on F, i.e., locally free sheaves ℰ of rank 2 on F such that hi(F,ℰ(t)) = 0, for i = 1,…,n−1 and t∈ℤ.We obtain some results in the case of a very ample polarization when n≥5. We apply these results in order to deal with bundles on non-degenerate complete intersection with degree up to 9.A complete description is given for the complete intersections of two quadrics when n≥4.
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