On holomorphic vector bundles on Hopf manifolds with trivial pullback on the universal covering

DOI10.1007/BF01934350zbMath0756.32018MaRDI QIDQ1196009

Daniel Mall

Publication date: 12 January 1993

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165026

zbMATH Keywords

elliptic curvesnormal formsholomorphic vector bundlesuniversal coveringmatrix-valued functionsHopf manifoldsAtiyah's classificationtrivial pullback

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Compact complex (n)-folds (32J18) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Holomorphic bundles and generalizations (32L05)

Related Items (7)

Hopf manifolds and vector bundles on projective spaces ⋮ Contractions, Fredholm operators and the cohomology of vector bundles on Hopf manifolds ⋮ The structure of vector bundles on non-primary Hopf manifolds ⋮ Holomorphic vector bundle on Hopf manifolds with Abelian fundamental groups ⋮ Cohomology of bundles on homological Hopf manifolds ⋮ Some results about holomorphic vector bundles over general Hopf manifolds ⋮ Filtrable bundles of rank 2 on Hopf surfaces

Cites Work

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• Filtrable bundles of rank 2 on Hopf surfaces
• Ein Kontinuitätssatz für die Fortsetzung kohärenter analytischer Garben
• Das Typenproblem bei formal-biholomorphen Abbildungen mit anziehendem Fixpunkt
• Vector Bundles Over an Elliptic Curve
• Versal deformation of Hopf surfaces.
• Elliptic Curves
• On the Structure of Compact Complex Analytic Surfaces, I

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