Geodesic
On actions of reductive groups with one-parameter family
Sbornik. Mathematics, Tome 188 (1997) no. 5, pp. 639-655 Cet article a éte moissonné depuis la source Math-Net.Ru

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Actions of reductive groups on normal algebraic varieties with one-parameter families of spherical orbits of maximal dimension are studied under the assumption that the categorical quotient for the action is one-dimensional. As an application, the classification of the actions of the group $SL_2$ on three-dimensional normal affine varieties is completed. The ground field $K$ is assumed to be algebraically closed and of characteristic zero. 
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     title = {On actions of reductive groups with one-parameter family},
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     url = {http://geodesic.mathdoc.fr/item/SM_1997_188_5_a0/}
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I. V. Arzhantsev. On actions of reductive groups with one-parameter family. Sbornik. Mathematics, Tome 188 (1997) no. 5, pp. 639-655. http://geodesic.mathdoc.fr/item/SM_1997_188_5_a0/

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