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Eugenia Tondelli

Publications and source records attributed to Eugenia Tondelli.

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Morphisms between Grassmannians, II

Denote by $\mathbb G(k,n)$ the Grassmannian of linear subspaces of dimension $k$ in $\mathbb P^n$. We show that, if $φ:\mathbb G(l,n) \to \mathbb G(k,n)$ is a non constant morphism and $l \not=0,n-1$ then $l=k$ or $l=n-k-1$ and $φ$ is an isomorphism.

math.AG↗