Holomorphic vector bundle on Hopf manifolds with Abelian fundamental groups

DOI10.1007/S10114-004-0376-5zbMath1060.32006OpenAlexW2010717522MaRDI QIDQ705094

Weiming Liu, Xiang-Yu Zhou

Publication date: 25 January 2005

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-004-0376-5

zbMATH Keywords

holomorphic vector bundleHopf manifold\(n\)-dimensional Hopf manifoldHopf manifold with Abelian fundamental group

Mathematics Subject Classification ID

Compact complex (n)-folds (32J18) Holomorphic bundles and generalizations (32L05)

Related Items (3)

The cohomology of line bundles on non-primary Hopf manifolds ⋮ The structure of vector bundles on non-primary Hopf manifolds ⋮ Some results about holomorphic vector bundles over general Hopf manifolds

Cites Work

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• On holomorphic vector bundles on Hopf manifolds with trivial pullback on the universal covering
• The cohomology of line bundles on Hopf manifolds
• Topology of Hopf surfaces
• Filtrable bundles of rank 2 on Hopf surfaces
• Holomorphic vector bundles on primary Kodaira surfaces
• The moduli space of Hopf surfaces
• On the Structure of Compact Complex Analytic Surfaces, I

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