Vector bundle construction via Monads on multiprojective spaces

In this paper we construct indecomposable vector bundles associated to monads on multiprojective spaces.Specifically we establish the existence of monads on P 2n+1 P 2n+1 P 2n+1 and on P a 1 P a n .We prove stability of the kernel bundle which is a dual of a generalized Schwarzenberger bundle associated to the monads on X = P 2n+1 P 2n+1 P 2n+1 and prove that the cohomology vector bundle which is simple, a generalization of special instanton bundles.We also prove stability of the kernel bundle and that the cohomology vector bundle associated to the monad on P a 1 P a n is simple.Lastly, we construct explicitly the morphisms that establish the existence of monads on P 1 P 1 .