Elsevier

Journal of Algebra

Volume 221, Issue 2, 15 November 1999, Pages 692-704
Journal of Algebra

Regular Article
Local Triviality of Proper Ga Actions

https://doi.org/10.1006/jabr.1997.8028Get rights and content
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Abstract

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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Communicated by Leonard, L. Scott, Jr.

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Supported in part by the NSA.