Abstract
We obtain an effective criterion for the finiteness of the number of orbits contained in the closure of a given G-orbit for the case of a rational linear action of the group G: = (ℂ*)k × SL 2(ℂ) on a finite-dimensional linear space as well as on the projectivization of such a space.
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Original Russian Text © E. V. Sharoiko, 2007, published in Matematicheskie Zametki, 2007, Vol. 81, No. 5, pp. 766–775.
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Sharoiko, E.V. On the finiteness of the number of orbits on quasihomogeneous (ℂ*)k × SL 2(ℂ)-manifolds. Math Notes 81, 686–694 (2007). https://doi.org/10.1134/S000143460705015X
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DOI: https://doi.org/10.1134/S000143460705015X