On linear morphisms of product spaces

Fuente: arXiv
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Main Authors: Bichara, Alessandro, Havlicek, Hans, Zanella, Corrado
Format: Preprint
Published: 2013
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author Bichara, Alessandro
Havlicek, Hans
Zanella, Corrado
author_facet Bichara, Alessandro
Havlicek, Hans
Zanella, Corrado
contents 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 morphisms of projective spaces $ϕ$, such that $γϕ=αχ$.
format Preprint
id arxiv_https___arxiv_org_abs_1304_0094
institution arXiv
publishDate 2013
record_format arxiv
spellingShingle On linear morphisms of product spaces
Bichara, Alessandro
Havlicek, Hans
Zanella, Corrado
Algebraic Geometry
51M35
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 morphisms of projective spaces $ϕ$, such that $γϕ=αχ$.
title On linear morphisms of product spaces
topic Algebraic Geometry
51M35
url https://arxiv.org/abs/1304.0094