Buchsbaum criterion of Segre products of vector bundles on multiprojective space

This paper investigates the Buchsbaum property of Segre product of Buchsbaum vector bundles on multiprojective spaces. A Buchsbaum vector bundle on the projective space is isomorphic to a direct sum of exterior products of differential sheaves with some twist. We will give cohomological criteria for the Buchsbaum property of the Segre products of these bundles.