Monad constructions of omalous bundles

We consider a particular class of holomorphic vector bundles relevant for supersymmetric string theory, called omalous  , over nonsingular projective varieties. We use monads to construct examples of such bundles over 3-fold hypersurfaces in P4P4, complete intersection Calabi–Yau manifolds in PkPk, blow-ups of P2P2 at nn distinct points, and products Pm×PnPm×Pn.