On the reducibility of connections on the prolongations of vector bundles
Ivan Kolář (1974)
Colloquium Mathematicae
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Ivan Kolář (1974)
Colloquium Mathematicae
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Maria H. Paula Leite Mello (1986/87)
Manuscripta mathematica
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Oliver, Bob (1998)
Documenta Mathematica
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T. Jakubowski (1974)
Colloquium Mathematicae
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Wojciech Kucharz (2009)
Annales Polonici Mathematici
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We show some advantages of splitting vector bundles by blowups.
Michael Schneider (1978-1979)
Séminaire Bourbaki
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Július Korbas (1994)
Manuscripta mathematica
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A. Minatta, R. Piccinini, M. Spreafico (2003)
Collectanea Mathematica
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Włodzimierz M. Mikulski (1993)
Mathematica Bohemica
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Let and be two natural bundles over -manifolds. We prove that if is of type (I) and is of type (II), then any natural differential operator of into is of order 0. We give examples of natural bundles of type (I) or of type (II). As an application of the main theorem we determine all natural differential operators between some natural bundles.
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.