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/