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.
@article{urn:eudml:doc:41195, title = {The universal rank-(n-1) bundle on G(i,n) restricted to subvarieties.}, journal = {Collectanea Mathematica}, volume = {49}, year = {1998}, pages = {173-183}, zbl = {0959.14030}, mrnumber = {MR1677101}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41195} }
Arrondo, Enrique. The universal rank-(n-1) bundle on G(i,n) restricted to subvarieties.. Collectanea Mathematica, Tome 49 (1998) pp. 173-183. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41195/