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
Arrondo, E., Sierra, J.C., & Ugaglia, L. (2005). Classification of n-dimensional subvarieties of G(1, 2n) that can be projected to G(1, n + 1). BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 37(5), 673-682 [10.1112/S002460930500473X].
Classification of n-dimensional subvarieties of G(1, 2n) that can be projected to G(1, n + 1)
UGAGLIA, Luca
2005
Abstract
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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