Journal of Lie TheoryVol. 14, No. 2, pp. 563--568 (2004)
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Journal of Lie Theory Vol. 14, No. 2, pp. 563--568 (2004) |
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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 59812-0864 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.
© 2004 Heldermann Verlag
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