The Cayley-Spottiswoode coordinates of a conic in 3-space
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H. S. Ruse (1935)
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Luciana Picco Botta, Alessandro Verra (1983)
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We classify those smooth (n-1)-folds in G(1,Pn) for which the restriction of the rank-(n-1) universal bundle has more than n+1 independent sections. As an application, we classify also those (n-1)-folds for which that bundle splits.