Full paper in PDF:
$%M. C. Beltrametti, S. di Rocco, and A. J. Sommese,
On generation of jets for vector bundles,
Rev. Mat. Complut. 12 (1999), no. 1, 27–45.%$
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Dipartimento di Matematica
Vía Dodecaneso 35 1-16146 Genova — Italy |
Department of Mathematics KTH, Royal Institute of Technology S-100 44 Stockholm — Sweden |
ABSTRACT
We introduce and study the
-jet ampleness and the
-jet spannedness
for a vector bundle,
, on a projective manifold. We obtain different
characterizations of projective space in terms of such positivity properties for
. We compare the
-jet ampleness with different notions of very ampleness
in the literature.
1991 Mathematics Subject Classification: primary 14F05, 14E25; secondary 14C20.