A Levi problem on two-dimensional complex manifolds

DOI10.1007/BF01456222zbMath0502.32010MaRDI QIDQ1172723

Takeo Ohsawa, Klas Diederich

Publication date: 1982

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

Full work available at URL: https://eudml.org/doc/182878

zbMATH Keywords

holomorphically convexcompact domainSteinnessreal analytic boundaryLevi flat boundarymodification of Stein spacepseudoconvex boundary

Mathematics Subject Classification ID

Stein spaces (32E10) Holomorphically convex complex spaces, reduction theory (32E05) Pseudoconvex domains (32T99)

Related Items

Harmonic mappings and disc bundles over compact Kähler manifolds ⋮ Biholomorphic domains with inequivalent boundaries ⋮ Structure theorems for complete Kähler manifolds and applications to Lefschetz type theorems ⋮ Levi problem in complex manifolds ⋮ On the local pseudoconvexity of certain analytic families of $\mathbb{C}$ ⋮ The \(L^2\)-cohomology of a bounded smooth Stein domain is not necessarily Hausdorff ⋮ Weakly 1‐completeness of holomorphic fiber bundles over compact Kähler manifolds ⋮ On the complement of effective divisors with semipositive normal bundle ⋮ Levi problem: complement of a closed subspace in a Stein space and its applications ⋮ On the displacement rigidity of Levi flat hypersurfaces -- the case of boundaries of disc bundles over compact Riemann surfaces ⋮ A smooth pseudoconvex domain without pseudoconvex exhaustion ⋮ Generically strongly \(q\)-convex complex manifolds ⋮ Weakly complete compex surfaces ⋮ Robin functions for complex manifolds and applications ⋮ Stability of pseudoconvexity of disc bundles over compact Riemann surfaces and application to a family of Galois coverings ⋮ A remark to 'Global regularity and spectra of Laplace-Beltrami operators on pseudoconvex domains'

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