On embedded products of Grassmannians

Fuente: arXiv
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Autori principali: Havlicek, Hans, Zanella, Corrado
Natura: Preprint
Pubblicazione: 2013
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author Havlicek, Hans
Zanella, Corrado
author_facet Havlicek, Hans
Zanella, Corrado
contents Let $Γ'$ and $Γ$ be two Grassmannians. The standard embedding $ϕ:Γ'\timesΓ\to \bar{P}$ is obtained by combining the Plücker and Segre embeddings. Given a further embedding $η: Γ'\timesΓ\to P'$, we find a sufficient condition for the existence of $α\in Aut(Γ)$ and of a collineation $ψ: \bar{P} \to P'$ such that $η=({\rm id}_{Γ'}\timesα)ϕψ$.
format Preprint
id arxiv_https___arxiv_org_abs_1304_0099
institution arXiv
publishDate 2013
record_format arxiv
spellingShingle On embedded products of Grassmannians
Havlicek, Hans
Zanella, Corrado
Algebraic Geometry
51M35
Let $Γ'$ and $Γ$ be two Grassmannians. The standard embedding $ϕ:Γ'\timesΓ\to \bar{P}$ is obtained by combining the Plücker and Segre embeddings. Given a further embedding $η: Γ'\timesΓ\to P'$, we find a sufficient condition for the existence of $α\in Aut(Γ)$ and of a collineation $ψ: \bar{P} \to P'$ such that $η=({\rm id}_{Γ'}\timesα)ϕψ$.
title On embedded products of Grassmannians
topic Algebraic Geometry
51M35
url https://arxiv.org/abs/1304.0099