Holomorphic vector bundles on
Michael Schneider (1978-1979)
Séminaire Bourbaki
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Michael Schneider (1978-1979)
Séminaire Bourbaki
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Edoardo Ballico, Francesco Malaspina, Paolo Valabrega, Mario Valenzano (2012)
Open Mathematics
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Let E be an indecomposable rank two vector bundle on the projective space ℙn, n ≥ 3, over an algebraically closed field of characteristic zero. It is well known that E is arithmetically Buchsbaum if and only if n = 3 and E is a null-correlation bundle. In the present paper we establish an analogous result for rank two indecomposable arithmetically Buchsbaum vector bundles on the smooth quadric hypersurface Q n ⊂ ℙn+1, n ≥ 3. We give in fact a full classification and prove that n must...
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.
A. Minatta, R. Piccinini, M. Spreafico (2003)
Collectanea Mathematica
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Huashi Xia (1995)
Compositio Mathematica
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Christopher Hacon (2000)
Annales de l'institut Fourier
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We give a lower bound for the Seshadri constants of ample vector bundles which depends only on the numerical properties of the Chern classes and on a “stability” condition.
Stephen S. Shatz (1977)
Compositio Mathematica
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