Deforming Vector Bundles on the Projective Plane.
Stein Arild Stromme (1983)
Mathematische Annalen
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Stein Arild Stromme (1983)
Mathematische Annalen
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Mathai, Varghese, Melrose, Richard B., Singer, Isadore M. (2005)
Geometry & Topology
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Daniel Naie (1994)
Mathematische Annalen
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Mauro C. Beltrametti, Sandra Di Rocco, Andrew J. Sommese (1999)
Revista Matemática Complutense
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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.
Norman Goldstein (1984)
Compositio Mathematica
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Andrew John Sommese, A. Van de Ven (1987)
Mathematische Annalen
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Nicole Mestrano (1985)
Annales de l'institut Fourier
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Let be a smooth projective surface, the canonical divisor, a very ample divisor and the moduli space of rank-two vector bundles, -stable with Chern classes and . We prove that, if there exists such that is numerically equivalent to and if is even, greater or equal to , then there is no Poincaré bundle on . Conversely, if there exists such that the number is odd or if is odd, then there exists a Poincaré bundle on .
Hanna Matuszczyk (1983)
Annales Polonici Mathematici
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Thomas Peternell, Frédéric Campana (1991)
Mathematische Annalen
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Kenji Matsuki (1986)
Mathematische Annalen
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