Fano bundles of rank 2 on surfaces
Michał Szurek, Jarosław A. Wisniewski (1990)
Compositio Mathematica
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Michał Szurek, Jarosław A. Wisniewski (1990)
Compositio Mathematica
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Wiera Dobrowolska (1993)
Colloquium Mathematicae
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This work concerns bounds for Chern classes of holomorphic semistable and stable vector bundles on . Non-negative polynomials in Chern classes are constructed for 4-vector bundles on and a generalization of the presented method to r-bundles on is given. At the end of this paper the construction of bundles from complete intersection is introduced to see how rough the estimates we obtain are.
Huashi Xia (1995)
Compositio Mathematica
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Madonna, C. (1998)
Rendiconti del Seminario Matematico
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Wolfram Decker (1986)
Mathematische Annalen
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Carlo Madonna (2005)
Open Mathematics
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By the results of the author and Chiantini in [3], on a general quintic threefold X⊂P 4 the minimum integer p for which there exists a positive dimensional family of irreducible rank p vector bundles on X without intermediate cohomology is at least three. In this paper we show that p≤4, by constructing series of positive dimensional families of rank 4 vector bundles on X without intermediate cohomology. The general member of such family is an indecomposable bundle from the extension...
Michael Schneider (1978-1979)
Séminaire Bourbaki
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Stephen S. Shatz (1977)
Compositio Mathematica
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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.