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| Authors: | Shulim?Kaliman mailto:kaliman@math.miami.edu" title=" kaliman@math.miami.edu" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author |
| Affiliation: | (1) Department of Mathematics, University of Miami, 33124 Coral Gables, Florida, USA |
| Abstract: | Let X be a smooth contractible three-dimensional affine algebraic variety with a free algebraic C+-action on it such that S=X//C+ is smooth. We prove that X is isomorphic to S×C and the action is induced by a translation on the second factor. As a consequence we show that any free algebraic C+-action on C3 is a translation in a suitable coordinate system. |
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