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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.
Arrondo, Enrique. "The universal rank-(n-1) bundle on G(i,n) restricted to subvarieties.." Collectanea Mathematica 49.2-3 (1998): 173-183. <http://eudml.org/doc/41195>.
@article{Arrondo1998, abstract = {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.}, author = {Arrondo, Enrique}, journal = {Collectanea Mathematica}, keywords = {Variedades complejas; Fibrados; Espacio proyectivo complejo; Subvariedades; Congruencia; Proyecciones; Grassmannians; linear normality; projections; duality}, language = {eng}, number = {2-3}, pages = {173-183}, title = {The universal rank-(n-1) bundle on G(i,n) restricted to subvarieties.}, url = {http://eudml.org/doc/41195}, volume = {49}, year = {1998}, }
TY - JOUR AU - Arrondo, Enrique TI - The universal rank-(n-1) bundle on G(i,n) restricted to subvarieties. JO - Collectanea Mathematica PY - 1998 VL - 49 IS - 2-3 SP - 173 EP - 183 AB - 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. LA - eng KW - Variedades complejas; Fibrados; Espacio proyectivo complejo; Subvariedades; Congruencia; Proyecciones; Grassmannians; linear normality; projections; duality UR - http://eudml.org/doc/41195 ER -