On linear morphisms of product spaces Original Research Article

Let χ be a linear morphism of the product of two projective spaces PG(n,F) and PG(m,F) into a projective space. Let γ be the Segre embedding of such a product. In this paper we give some sufficient conditions for the existence of an automorphism α of the product space and a linear morphism of projective spaces ϕ, such that γϕ=αχ.