Resumen de On generation of jets for vector bundles

Sandra Di Rocco, Andrew J. Sommese, Mauro C. Beltrametti

• 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.