{
  "id": "2308.15221",
  "version": "v1",
  "published": "2023-08-29T11:22:36.000Z",
  "updated": "2023-08-29T11:22:36.000Z",
  "title": "Morphisms between Grassmannians, II",
  "authors": [
    "Gianluca Occhetta",
    "Eugenia Tondelli"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "Denote by $\\mathbb G(k,n)$ the Grassmannian of linear subspaces of dimension $k$ in $\\mathbb P^n$. We show that, if $\\varphi:\\mathbb G(l,n) \\to \\mathbb G(k,n)$ is a non constant morphism and $l \\not=0,n-1$ then $l=k$ or $l=n-k-1$ and $\\varphi$ is an isomorphism.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-08-29T11:22:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M15",
      "14J45"
    ],
    "keywords": [
      "grassmannian",
      "non constant morphism",
      "linear subspaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}