The cohomology of line bundles on non-primary Hopf manifolds

DOI10.1007/s10114-005-0721-3zbMath1116.32014OpenAlexW1974341732MaRDI QIDQ884889

Ning Gan, Xiang-Yu Zhou

Publication date: 7 June 2007

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

Full work available at URL: https://doi.org/10.1007/s10114-005-0721-3

zbMATH Keywords

cohomologyDolbeault cohomologyline bundlesDouady sequenceflat line bundlenon-primary Hopf manifold

Mathematics Subject Classification ID

Compact complex (n)-folds (32J18) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10)

Related Items

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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• Holomorphic vector bundle on Hopf manifolds with Abelian fundamental groups
• Line bundles on non-primary Hopf manifolds
• The cohomology of line bundles on Hopf manifolds
• Topology of Hopf surfaces
• Explicit description of Hopf surfaces and their automorphism groups
• A remark on the Douady sequence for non-primary Hopf manifolds
• Versal deformation of Hopf surfaces.
• On the Structure of Compact Complex Analytic Surfaces, I