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arXiv · 1304.0094

On linear morphisms of product spaces

Alessandro Bichara·Hans Havlicek·Corrado Zanella
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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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Alessandro Bichara, Hans Havlicek, Corrado Zanella. 2013-03-30. On linear morphisms of product spaces. https://doi.org/10.1016/s0012-365x(02)00601-5

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