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classification of $\lowercase{n}$-dimensional subvarieties of $g(1,2\lowercase{n})$ that can be projected to $g(1,\lowercase{n+1})$

  • enrique arrondo (a1), josé carlos sierra (a1) and luca ugaglia (a2)

a structure theorem is given for $n$-dimensional smooth subvarieties of the grassmannian $g(1,n)$, with $n\geq n+3$, that can be isomorphically projected to $g(1,n+1)$. a complete classification in the cases $n=2n+1$ and $n=2n$ follows, as a corollary.

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Bulletin of the London Mathematical Society
  • ISSN: 0024-6093
  • EISSN: 1469-2120
  • URL: /core/journals/bulletin-of-the-london-mathematical-society
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