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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2308.15221 |
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| _version_ | 1866908290821128192 |
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| author | Occhetta, Gianluca Tondelli, Eugenia |
| author_facet | Occhetta, Gianluca Tondelli, Eugenia |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_15221 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Morphisms between Grassmannians, II Occhetta, Gianluca Tondelli, Eugenia Algebraic Geometry 14M15, 14J45 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. |
| title | Morphisms between Grassmannians, II |
| topic | Algebraic Geometry 14M15, 14J45 |
| url | https://arxiv.org/abs/2308.15221 |