Vector bundles over classifying spaces.
Oliver, Bob (1998)
Documenta Mathematica
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Oliver, Bob (1998)
Documenta Mathematica
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Wojciech Kucharz (2009)
Annales Polonici Mathematici
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We show some advantages of splitting vector bundles by blowups.
T. Jakubowski (1974)
Colloquium Mathematicae
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Vaisman, I. (1998)
Balkan Journal of Geometry and its Applications (BJGA)
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Ivan Kolář (1974)
Colloquium Mathematicae
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J.M. Bismut (1992)
Geometric and functional analysis
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J. J. Konderak (1991)
Annales Polonici Mathematici
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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.
P. Szeptycki (1983)
Annales Polonici Mathematici
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Július Korbas (1994)
Manuscripta mathematica
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Yukitaka Abe (1994)
Mathematische Zeitschrift
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Maria H. Paula Leite Mello (1986/87)
Manuscripta mathematica
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Ruishi Kuwabara (1990)
Mathematische Zeitschrift
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J. Kurek, W. M. Mikulski (2005)
Colloquium Mathematicae
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We classify all natural operators lifting linear vector fields on vector bundles to vector fields on vertical fiber product preserving gauge bundles over vector bundles. We explain this result for some known examples of such bundles.
Atsuhsi Moriwaki (1992)
Manuscripta mathematica
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S. Matsumoto (1987)
Inventiones mathematicae
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Ulrich Schwardmann (1982)
Mathematische Zeitschrift
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