#### Z. Reichstein,
N. Vonessen ,
* Stable affine models for algebraic group actions
*, Journal of Lie Theory, no. 2 (2004), 563--568.

**Abstract:**
Let G be a reductive linear algebraic group defined over
an algebraically closed base field k of characteristic zero.
A G-variety X is an algebraic variety with a regular
action of G, defined over k. An affine G-variety Y
is called stable if points of Y in general position have
closed G-orbits. Our main result is a necessary
and sufficient condition for a G-variety X to have
a stable affine birational model.

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