Holomorphic vector bundles on
Michael Schneider (1978-1979)
Séminaire Bourbaki
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Michael Schneider (1978-1979)
Séminaire Bourbaki
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Ben Nasatyr, Brian Steer (1995)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Wolfram Decker (1986)
Mathematische Annalen
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Indranil Biswas, S. Senthamarai Kannan, D. S. Nagaraj (2015)
Complex Manifolds
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Given a complex manifold M equipped with an action of a group G, and a holomorphic principal H–bundle EH on M, we introduce the notion of a connection on EH along the action of G, which is called a G–connection. We show some relationship between the condition that EH admits a G–equivariant structure and the condition that EH admits a (flat) G–connection. The cases of bundles on homogeneous spaces and smooth toric varieties are discussed.
Lawrence Ein (1980)
Mathematische Annalen
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Owens, Brendan (2001)
Geometry & Topology
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N.P. Buchdahl (1988)
Mathematische Annalen
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Klaus Hulek (1979)
Mathematische Annalen
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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.
Brînzănescu, Vasile (1997)
General Mathematics
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