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arXiv · 1304.0099

On embedded products of Grassmannians

Hans Havlicek·Corrado Zanella
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Abstract

Let $\Gamma'$ and $\Gamma$ be two Grassmannians. The standard embedding $\phi:\Gamma'\times\Gamma\to \bar{P}$ is obtained by combining the Pl\"ucker and Segre embeddings. Given a further embedding $\eta: \Gamma'\times\Gamma \to P'$, we find a sufficient condition for the existence of $\alpha\in Aut(\Gamma)$ and of a collineation $\psi: \bar{P} \to P'$ such that $\eta=({\rm id}_{\Gamma'}\times\alpha)\phi\psi$.

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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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