Resumen de The universal rank-(n-1) bundle on G(1, n) restricted to subvarieties
We classify those smooth ($n-1$)-folds in $G(1,\mathbb{P}^n)$ 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.
