On the Collapsing of Homogeneous Bundles.
George R. Kempf (1976)
Inventiones mathematicae
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Displaying similar documents to “Nef value of homogeneous line bundles and related vanishing theorems.”
On the Collapsing of Homogeneous Bundles.
On Fano 4-folds of index 1 and homogeneous vector bundles over Grassmannians.
Oliver Küchle (1995)
Mathematische Zeitschrift
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Correction to:" Spanning homogeneous vector bundles".
Dennis M. Snow (1992)
Commentarii mathematici Helvetici
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Spanning homogeneous vector bundles.
Dennis M. Snow (1989)
Commentarii mathematici Helvetici
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Resolutions of homogeneous bundles on
Giorgio Ottaviani, Elena Rubei (2005)
Annales de l’institut Fourier
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We characterize minimal free resolutions of homogeneous bundles on . Besides we study stability and simplicity of homogeneous bundles on by means of their minimal free resolutions; in particular we give a criterion to see when a homogeneous bundle is simple by means of its minimal resolution in the case the first bundle of the resolution is irreducible.
Vector bundles over classifying spaces.
Oliver, Bob (1998)
Documenta Mathematica
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Splitting vector bundles by blowups
Wojciech Kucharz (2009)
Annales Polonici Mathematici
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We show some advantages of splitting vector bundles by blowups.
On the form of principal torus-bundles over toruses
T. Jakubowski (1974)
Colloquium Mathematicae
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Symmetric and exterior powers of homogeneous vector bundles.
Shrawan Kumar (1994)
Mathematische Annalen
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Deformations of Principal Bundles on the Projective Line.
A. Ramanathan (1983)
Inventiones mathematicae
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Variations on the theme of twistor spaces.
Vaisman, I. (1998)
Balkan Journal of Geometry and its Applications (BJGA)
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A criterion of openness of a family of nef line bundles.
Atsuhsi Moriwaki (1992)
Manuscripta mathematica
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On simple and stable homogeneous bundles
Simona Faini (2006)
Bollettino dell'Unione Matematica Italiana
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In this work we will analyze the relation between the stability and the simplicity of a homogeneous vector bundle on a projective variety. Our main theorem shows that a homogeneous bundle is not destabilized by its homogeneous subbundles if and only if it is the tensor product of a stable homogeneous bundle and an irreducible representation. Then we give an example of a homogeneous bundle, which is simple, but not stable.