On free holomorphic \({\mathbb{C}}\)-actions on \({\mathbb{C}}^ n\) and homogeneous Stein manifolds (Q920249)
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scientific article; zbMATH DE number 4163255
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On free holomorphic \({\mathbb{C}}\)-actions on \({\mathbb{C}}^ n\) and homogeneous Stein manifolds |
scientific article; zbMATH DE number 4163255 |
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On free holomorphic \({\mathbb{C}}\)-actions on \({\mathbb{C}}^ n\) and homogeneous Stein manifolds (English)
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1990
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The author is concerned with the question whether the quotient space \({\mathbb{C}}^ n/\sim\) (where \(\sim\) is the equivalence relation related to a free holomorphic group action) is always biholomorphic equivalent to \({\mathbb{C}}^{n-1}\), and furnishes some interesting counterexamples among which we mention a family of non Stein quotients, a non Hausdorff quotient, a quotient containing a torus a.s.o.
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Stein manifold
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free holomorphic group action
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