Abstract.
We obtain the classification of two-orbit varieties, i.e. the normal complete complex algebraic varieties on which a reductive complex algebraic group acts with two orbits. We prove also Luna's conjecture saying that these varieties are spherical, i.e. admit a dense orbit of a Borel subgroup.
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Received: September 1, 2000
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Cupit-Foutou, S. Classification of two-orbit varieties. Comment. Math. Helv. 78, 245–265 (2003). https://doi.org/10.1007/s000140300011
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DOI: https://doi.org/10.1007/s000140300011