Nef value of homogeneous line bundles and related vanishing theorems.
Dennis M. Snow (1995)
Forum mathematicum
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Dennis M. Snow (1995)
Forum mathematicum
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Yves Laszlo, Christoph Sorger (1997)
Annales scientifiques de l'École Normale Supérieure
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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.
U. N. Bhosle (1984)
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.
Ancona, Vincenzo, Ottaviani, Giorgio (2001)
Advances in Geometry
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Michael Schneider (1978-1979)
Séminaire Bourbaki
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Stephen S. Shatz (1977)
Compositio Mathematica
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