Journal of Lie Theory Vol. 14, No. 2, pp. 563568 (2004) 

Stable Affine Models for Algebraic Group ActionsZinovy Reichstein and Nikolaus VonessenZinovy ReichsteinDepartment of Mathematics University of British Columbia Vancouver, BC V6T 1Z2 Canada reichst@math.ubc.ca and Nikolaus Vonessen Department of Mathematical Sciences University of Montana Missoula, MT 598120864 USA Nikolaus.Vonessen@umontana.edu Abstract: Let $G$ be a reductive linear algebraic group defined over an algebraically closed base field $k$ of characteristic zero. A $G$variety is an algebraic variety with a regular action of $G$, defined over $k$. An affine $G$variety is called stable if its points in general position have closed $G$orbits. We give a simple necessary and sufficient condition for a $G$variety to have a stable affine birational model. Full text of the article:
Electronic version published on: 1 Sep 2004. This page was last modified: 1 Sep 2004.
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