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A bounded domain in \(\mathbb{C}^N\) which embeds holomorphically into \(\mathbb{C}^{N+1}\)

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Publication:1127031
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DOI10.1007/BF02559972zbMath0949.32010OpenAlexW2589103192MaRDI QIDQ1127031

Josip Globevnik

Publication date: 27 November 2000

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02559972


zbMATH Keywords

holomorphic embeddingbounded domain in \(\mathbb{C}^N\)


Mathematics Subject Classification ID

Embedding theorems for complex manifolds (32Q40)


Related Items (6)

Examples of non-autonomous basins of attraction-II ⋮ The first thirty years of Andersén-Lempert theory ⋮ Examples of non-autonomous basins of attraction ⋮ Hyperbolic complex contact structures on \(\mathbb {C}^{2n+1}\) ⋮ On holomorphic embedding of planar domains into \(\mathbb{C}^2\) ⋮ Non-algebraic examples of manifolds with the volume density property



Cites Work

  • Embeddings of Stein manifolds of dimension \(n\) into the affine space of dimension \(3n/2+1\)
  • Holomorphic embeddings of planar domains in \(\mathbb{C}^ 2\)
  • Proper holomorphic mappings from strongly pseudoconvex domains in $\mathsf{C}^2$ to the unit polydisc in $\mathsf{C}^2$.


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