A Pieri-Chevalley formula in the K-theory of a -bundle.
Pittie, Harsh, Ram, Arun (1999)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Pittie, Harsh, Ram, Arun (1999)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Tsuyoshi Fujiwara (1992)
Compositio Mathematica
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Henning Haahr Andersen (1979)
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Michał Szurek, Jarosław A. Wisniewski (1990)
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Hanna Matuszczyk (1983)
Annales Polonici Mathematici
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Norman Goldstein (1984)
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M.S. Raghunathan (1994)
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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.
Georges Elencwajg, O. Forster (1982)
Annales de l'institut Fourier
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We study holomorphic vector bundles on non-algebraic compact manifolds, especially on tori. We exhibit phenomena which cannot occur in the algebraic case, e.g. the existence of 2-bundles that cannot be obtained as extensions of a sheaf of ideals by a line bundle. We prove some general theorems in deformations theory of bundles, which is our main tool.