Free C_+ -actions on C^3 are translations
Algebraic Geometry
2007-05-23 v1
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 and the action is induced by a translation on the second factor. As a consequence we show that any free algebraic C_+ -action on C^3 is a translation in a suitable coordinate system.
Keywords
Cite
@article{arxiv.math/0207156,
title = {Free C_+ -actions on C^3 are translations},
author = {Shulim Kaliman},
journal= {arXiv preprint arXiv:math/0207156},
year = {2007}
}
Comments
12 pages