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Classification of n-dimensional subvarieties of G(1,2n) that can be projected to G(1,n+1)

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2005
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London Mathematical Society
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A structure theorem is given for n-dimensional smooth subvarieties of the Grassmannian G(1, N); with N >= 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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