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arXiv · 2202.11411

Morphisms between Grassmannians

Angelo Naldi·Gianluca Occhetta
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Abstract

Denote by $\mathbb G(k,n)$ the Grassmannian of linear subspaces of dimension $k$ in $\mathbb P^n$. We show that if $n>m$ then every morphism $\varphi: \mathbb G(k,n) \to \mathbb G(l,m)$ is constant.

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Angelo Naldi, Gianluca Occhetta. 2022-02-23. Morphisms between Grassmannians. https://doi.org/10.3792/pjaa.98.019

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