An example of a non-projective smooth compactification of \(\mathbb{C}^ 3\) with second Betti number equal to one

DOI10.1007/BF01450477zbMath0803.32016MaRDI QIDQ1337542

Mikio Furushima

Publication date: 9 November 1994

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

Full work available at URL: https://eudml.org/doc/165243

zbMATH Keywords

Betti numberMoishezon compactificationnon-projective compactification of \(\mathbb{C}^ 3\)

Mathematics Subject Classification ID

Modifications; resolution of singularities (complex-analytic aspects) (32S45) Compactification of analytic spaces (32J05)

Related Items (2)

On the quasi-projectivity of compactifiable strongly pseudoconvex manifolds ⋮ Singular Fano compactifications of \(\mathbb C^3\). I.

Cites Work

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• Compactifications of \({\mathbb{C}}^ 3\). III
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• Compactifications of \({\mathbb{C}}^ 3\). II
• The structure of compactifications of \(\mathbb{C}^ 3\)
• The complete classification of compactifications of \(\mathbb{C}^ 3\) which are projective manifolds with the second Betti number one
• Some problems on differentiable and complex manifolds
• Compactifications of C n
• Flops
• Threefolds whose canonical bundles are not numerically effective

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