We introduce and study the k-jet ampleness and the k-jet spannedness for a vector bundle, E, on a projective manifold. We obtain different characterizations of projective space in terms of such positivity properties for E. We compare the 1-jet ampleness with different notions of very ampleness in the literature.
@article{urn:eudml:doc:44423,
title = {On generation of jets for vector bundles.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {12},
year = {1999},
pages = {27-44},
zbl = {0962.14009},
mrnumber = {MR1698897},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44423}
}
Beltrametti, Mauro C.; Di Rocco, Sandra; Sommese, Andrew J. On generation of jets for vector bundles.. Revista Matemática de la Universidad Complutense de Madrid, Tome 12 (1999) pp. 27-44. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44423/