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.
Original language | English (US) |
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Pages (from-to) | 163-173 |
Number of pages | 11 |
Journal | Inventiones Mathematicae |
Volume | 156 |
Issue number | 1 |
DOIs | |
State | Published - Jan 1 2004 |
ASJC Scopus subject areas
- Mathematics(all)