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arXiv · 1304.0099

On embedded products of Grassmannians

Hans Havlicek·Corrado Zanella
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Abstract

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 $η=({\rm id}_{Γ'}\timesα)ϕψ$.

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BibTeXRIS

Hans Havlicek, Corrado Zanella. 2013-03-30. On embedded products of Grassmannians. https://doi.org/10.1016/s0012-365x(02)00611-8

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