On Ample and spanned Rank-3 Bundles with Low Chern numbers.
Edoardo Ballico (1990)
Manuscripta mathematica
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Edoardo Ballico (1990)
Manuscripta mathematica
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Tan Xiao-Jiang (1992)
Manuscripta mathematica
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Svetlana Ermakova (2015)
Complex Manifolds
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In this article we establish an analogue of the Barth-Van de Ven-Tyurin-Sato theorem.We prove that a finite rank vector bundle on a complete intersection of finite codimension in a linear ind-Grassmannian is isomorphic to a direct sum of line bundles.
Atsuhsi Moriwaki (1992)
Manuscripta mathematica
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Mei-Chu Chang (1983)
Mathematische Zeitschrift
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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...
Geir Ellingsrud, Stein Arild Stramme (1981)
Mathematische Annalen
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Giorgio Ottaviani, Vincenzo Ancona (1995)
Journal für die reine und angewandte Mathematik
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Július Korbas (1994)
Manuscripta mathematica
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Thomas Peternell, Frédéric Capana (1993)
Manuscripta mathematica
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Oliver, Bob (1998)
Documenta Mathematica
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Zhenbo Qin, Wie-Ping Li (1996)
Journal für die reine und angewandte Mathematik
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Constantin Banica, Nicolae Manolache (1985)
Mathematische Zeitschrift
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Herbert Lange (1980)
Manuscripta mathematica
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Vaisman, I. (1998)
Balkan Journal of Geometry and its Applications (BJGA)
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Wojciech Kucharz (2009)
Annales Polonici Mathematici
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We show some advantages of splitting vector bundles by blowups.