Journal of Lie Theory

no. 2
Stable Affine Models for Algebraic Group Actions<!-- Anfang Autor -->
Journal of Lie Theory, Volume 14 (2004) no. 2, pp. 563-568
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.
DOI: 10.5802/jolt.353
Classification: 14L30
Keywords: Algebraic group, group action, stable action, affine model 
@article{JOLT_2004_14_2_a13,
     author = {Z. Reichstein and N. Vonessen},
     title = {Stable {Affine} {Models} for {Algebraic} {Group} {Actions<!--} {Anfang} {Autor} -->},
     journal = {Journal of Lie Theory},
     pages = {563--568},
     year = {2004},
     volume = {14},
     number = {2},
     doi = {10.5802/jolt.353},
     zbl = {1060.14067},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.353/}
}
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AU  - N. Vonessen
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VL  - 14
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%0 Journal Article
%A Z. Reichstein
%A N. Vonessen
%T Stable Affine Models for Algebraic Group Actions
%J Journal of Lie Theory
%D 2004
%P 563-568
%V 14
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%U https://jolt.centre-mersenne.org/articles/10.5802/jolt.353/
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Z. Reichstein; N. Vonessen. Stable Affine Models for Algebraic Group Actions. Journal of Lie Theory, Volume 14 (2004) no. 2, pp. 563-568. doi: 10.5802/jolt.353

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