On generation of jets for vector bundles.

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

Revista Matemática Complutense (1999)

  • Volume: 12, Issue: 1, page 27-44
  • ISSN: 1139-1138

Abstract

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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.

How to cite

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Beltrametti, Mauro C., Di Rocco, Sandra, and Sommese, Andrew J.. "On generation of jets for vector bundles.." Revista Matemática Complutense 12.1 (1999): 27-44. <http://eudml.org/doc/44423>.

@article{Beltrametti1999,
abstract = {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.},
author = {Beltrametti, Mauro C., Di Rocco, Sandra, Sommese, Andrew J.},
journal = {Revista Matemática Complutense},
keywords = {Algebra homológica; Variedades proyectivas; jet ample vector bundle; jet spanned vector bundle; very ample vector bundle; strongly ample vector bundle},
language = {eng},
number = {1},
pages = {27-44},
title = {On generation of jets for vector bundles.},
url = {http://eudml.org/doc/44423},
volume = {12},
year = {1999},
}

TY - JOUR
AU - Beltrametti, Mauro C.
AU - Di Rocco, Sandra
AU - Sommese, Andrew J.
TI - On generation of jets for vector bundles.
JO - Revista Matemática Complutense
PY - 1999
VL - 12
IS - 1
SP - 27
EP - 44
AB - 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.
LA - eng
KW - Algebra homológica; Variedades proyectivas; jet ample vector bundle; jet spanned vector bundle; very ample vector bundle; strongly ample vector bundle
UR - http://eudml.org/doc/44423
ER -

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