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On linear morphisms of product spaces (1304.0094v1)

Published 30 Mar 2013 in math.AG

Abstract: Let $\chi$ be a linear morphism of the product of two projective spaces $PG(n,F)$ and $PG(m,F)$ into a projective space. Let $\gamma$ be the Segre embedding of such a product. In this paper we give some sufficient conditions for the existence of an automorphism $\alpha$ of the product space and a linear morphisms of projective spaces $\phi$, such that $\gamma\phi=\alpha\chi$.

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