Local Triviality of Proper Ga Actions
Regular actions of the additive group of complex numbers on complex surfaces and on complex affine space are considered. A proper action on an affine surface admits a geometric quotient which is an affine curve. A proper action on a normal quasiaffine surface is equivariantly trivial. New criteria f...
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| Veröffentlicht in: | Journal of algebra 1999-11, Vol.221 (2), p.692-704 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | Regular actions of the additive group of complex numbers on complex surfaces and on complex affine space are considered. A proper action on an affine surface admits a geometric quotient which is an affine curve. A proper action on a normal quasiaffine surface is equivariantly trivial. New criteria for local and “global” triviality of proper actions on a complex affine space of arbitrary dimension are presented. |
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| ISSN: | 0021-8693 1090-266X |
| DOI: | 10.1006/jabr.1997.8028 |