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Affine embeddings with a finite number of orbits

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Abstract

LetG be a reductive algebraic group and letH be a reductive subgroup ofG. We describe all pairs (G, H) such that, for any affineG-varietyX with a denseG-orbit isomorphic toG/H, the number ofG-orbits inX is finite.

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Work of both authors was supported by INTAS-OPEN-97-1570, by CRDF grant RM1-2088, and by RFBR grant 01-01-00756.

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Arzhantsev, I.V., Timashev, D.A. Affine embeddings with a finite number of orbits. Transformation Groups 6, 101–110 (2001). https://doi.org/10.1007/BF01597130

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