Local triviality of proper \(G_a\) actions (Q1965266)
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scientific article; zbMATH DE number 1400116
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Local triviality of proper \(G_a\) actions |
scientific article; zbMATH DE number 1400116 |
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Local triviality of proper \(G_a\) actions (English)
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3 April 2001
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This paper investigates regular actions of the additive group of complex numbers on complex surfaces and affine spaces. The authors prove that a proper action on an affine surface admits a geometric quotient which is an affine curve, and a proper action on a normal quasi-affine surface is equivariantly trivial. Also, the authors give new criteria for local and ``global'' triviality of proper actions on a complex affine space of arbitrary dimension.
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equivariantly trivial actions
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actions of the additive group
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geometric quotient
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