Monad constructions of omalous bundles

Abstract

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 P4, complete intersection Calabi–Yau manifolds in Pk, blow-ups of P2 at n distinct points, and products Pm×Pn.