Abstract:
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 SL2 on three-dimensional normal affine varieties is completed. The ground field K is assumed to be algebraically closed and of characteristic zero.
\Bibitem{Arz97}
\by I.~V.~Arzhantsev
\paper On actions of reductive groups with one-parameter family
\jour Sb. Math.
\yr 1997
\vol 188
\issue 5
\pages 639--655
\mathnet{http://mi.mathnet.ru/eng/sm222}
\crossref{https://doi.org/10.1070/sm1997v188n05ABEH000222}
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